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"increased relative to" is correct and usable in written English.
You can use it to describe an increase relative to something else, such as another number. For example: "Sales have increased relative to last quarter's numbers."
Exact(60)
This allows for an analysis on how global temperature has increased relative to the preindustrial world21.
The TVI was increased relative to the TDI.
At the same time, researchers discovered, whites' opposition to welfare increased relative to that of minorities'.
"During the last bull market, boardroom pay dramatically increased relative to the average pay of all employees in a company.
Altogether, cellular precursors, hemicellulose, FLA17, CESA1 and CESA2 and MS1 increased relative to the highest expression at the green stage.
Panel B: Group data show that PPE mRNA, 72 hr after termination of EA treatment, was increased relative to controls.
Surface hardness was drastically increased, relative to the initial hardness of bulk steel.
Throughput was substantially increased relative to pure CO2 in both cases.
Habitat heterogeneity in patch-burn graze pastures subsequently increased relative to other treatments.
The fracture toughness increased relative to neat TPU regardless of the silica particle size.
Similarly, levels of the Lyp620W variant were decreased in human T and B cells, and its calpain binding and cleavage were increased relative to wild-type Lyp620R.
More suggestions(16)
raised relative to
increased proportional to
gained relative to
augmented relative to
risen relative to
widened relative to
increased proportionate to
gain relative to
widening relative to
increased related to
enhanced relative to
increased relatively to
grows relative to
rising relative to
rise relative to
increases relative to
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com