Finding the Third Proportional to 206,686.13 and 292,542.75
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Solution
The third proportional to 206,686.13 and 292,542.75 is: 414,063.89
Step by Step Solution
- Step 1: Write the proportion equation
206,686.13 : 292,542.75 = 292,542.75 : x - Step 2: Convert to fraction form
206,686.13/292,542.75 = 292,542.75/x - Step 3: Cross multiply
206,686.13x = 292,542.75 × 292,542.75 - Step 4: Simplify right side
206,686.13x = 85,581,260,577.56 - Step 5: Solve for x
x = 85,581,260,577.56/206,686.13 - Step 6: Final answer
x = 414,063.89
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.