Finding the Third Proportional to 202,181 and 431,336
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Solution
The third proportional to 202,181 and 431,336 is: 920,218.74
Step by Step Solution
- Step 1: Write the proportion equation
202,181 : 431,336 = 431,336 : x - Step 2: Convert to fraction form
202,181/431,336 = 431,336/x - Step 3: Cross multiply
202,181x = 431,336 × 431,336 - Step 4: Simplify right side
202,181x = 186,050,744,896 - Step 5: Solve for x
x = 186,050,744,896/202,181 - Step 6: Final answer
x = 920,218.74
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.