All debate regarding how taper is affected aside, here’s a couple of handy calculations to change what you have to what you need regarding pot value
To find out the parallel resistance we would need across pot lugs 1 and 3 we would use this formula
Rp = 1 / ( 1/R – 1/Rpot)
where Rp is the parallel resistor required R is the required pot value and Rpot is the actual value you have
As a working example we’ll say we have a 50K and need a 20K pot so following convention brackets first
1/20 – 1/50 = 0.05 – 0.02 = 0.03 then 1 / 0.03 = 33.33 The nearest practical value being 33K for Rp
The second calculation allows you to check how close you get to your desired value
R = R1 x R2 / R1 + R2
R1 is your actual pot value and R2 your parallel resistor value Rp
So R1 x R2 = 50 x 33 = 1650 divided by R1 + R2 = 50 + 33 = 83 so 1650 / 83 = 19.87 almost exactly 20K as required