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The phrase "a lower rate than" is correct and usable in written English.
It can be used when comparing rates, prices, or costs between two or more items or services.
Example: "The new subscription plan offers a lower rate than the previous one, making it more affordable for users."
Alternatives: "a reduced rate compared to" or "a cheaper rate than".
Exact(60)
The CCCS has long paid faculty at a lower rate than similar schools across the nation.
"He'd pay a lower rate than millions of middle class families".
Candidates can purchase advertising at a lower rate than PACs and other outside groups.
Congress taxed the income of hedge-fund managers at a lower rate than most everyone else's.
"And while salaries have increased, they have risen at a lower rate than prices".
Public spending cuts continue, albeit at a lower rate than under the Conservatives.
Or pay corporation tax at a lower rate than income tax?
Students at Mercy passed the test at a lower rate than their counterparts statewide.
As it happens, immigrants of all kinds commit crimes at a lower rate than the native-born.
Life expectancy is increasing for African-Americans and the poor, albeit at a lower rate than for wealthy whites.
But the latest analyses show that in 2016, African-Americans voted at a lower rate than any other group.
More suggestions(15)
a lower tempo than
a lower speed than
a lower proportion than
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a lower rating than
a lower coefficient than
a lower price than
a lower percentage than
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a lower standard than
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a lower bitrate than
a lower priority than
a lower mobility than
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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