Finding the Third Proportional to 201,214.13 and 415,185.75
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Solution
The third proportional to 201,214.13 and 415,185.75 is: 856,695.36
Step by Step Solution
- Step 1: Write the proportion equation
201,214.13 : 415,185.75 = 415,185.75 : x - Step 2: Convert to fraction form
201,214.13/415,185.75 = 415,185.75/x - Step 3: Cross multiply
201,214.13x = 415,185.75 × 415,185.75 - Step 4: Simplify right side
201,214.13x = 172,379,207,003.06 - Step 5: Solve for x
x = 172,379,207,003.06/201,214.13 - Step 6: Final answer
x = 856,695.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.