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The phrase "increases proportionately" is correct and usable in written English.
It can be used when describing a relationship where one quantity grows in direct relation to another.
Example: "As the temperature rises, the pressure of the gas increases proportionately."
Alternatives: "grows in direct proportion" or "rises in accordance with".
Exact(45)
The precore G1896A mutation increases proportionately in severe form of liver diseases.
As an ME closes in on its leading target, the profit share increases proportionately, sometimes exceeding 40%.
In the w/o type emulsion the kLw value increases proportionately to the volume fraction of n-alkans.
"The percentage of people who take it increases proportionately with age," said Laura Ellington, the school's founding director.
As the proportion of households subscribing to cable television increases, proportionately more advertising revenues will be reallocated from broadcast to cable television systems.
If the power delivered is increased by any change other than an increase in speed or cylinder dimensions, its brake mean effective pressure increases proportionately.
Similar(15)
The reason is simple: if workers produce more and more per hour (increased productivity), but their incomes don't increase proportionately, then there are no consumers to buy the increasing volume of goods and services they produce.
Human impacts on the planet have increased proportionately.
His political expenditures and his expectations have increased proportionately.
As our electronic tethers grow ever tighter, the energy disruptions increase proportionately.
As the care workforce grows in coming years these costs will increase proportionately.
More suggestions(15)
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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