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"direct proportion" is correct and can be used in written English.
It is a noun phrase that is used to describe when two quantities, usually expressed as ratios, are directly proportional (i.e. one increases as the other increases). For example, "The engine power was increased in direct proportion with the size of the fuel tank."
Exact(57)
Theft was rising in direct proportion to unemployment.
The plays' sweeping power exists in direct proportion to the performers' extreme attention to detail.
And the gruesomeness of their deaths was in direct proportion to how loved those characters were.
There is no sliding scale of moral outrage, increasing in direct proportion to human suffering.
Trouble, in direct proportion to his talent, follows him round like a magnet.
Yet news has become steadily devalued in almost direct proportion to its proliferation.
The effect is vexing in direct proportion to the quality of the afflicted paintings.
The insensitivity of this intrusion is in direct proportion to the trauma that it causes.
The level of success coming his way seems in direct proportion to his fierce work ethic.
He did not test for PAH, which studies show varies in direct proportion to particulates.
Each year the rules became sillier, in direct proportion to the commissioner's happy descent into family life.
Related(20)
direct distribution
direct part
direct involvement
direct ratio
direct rate
direct concentration
direct number
direct composition
direct participation
direct extent
direct relationship
direct incidence
direct figure
direct percentage
direct weight
direct share
direct fraction
direct population
direct representation
direct proportional
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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