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Finding the Third Proportional to 206,695.13 and 292,554

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Solution

The third proportional to 206,695.13 and 292,554 is: 414,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.13 : 292,554 = 292,554 : x
  2. Step 2: Convert to fraction form
    206,695.13/292,554 = 292,554/x
  3. Step 3: Cross multiply
    206,695.13x = 292,554 × 292,554
  4. Step 4: Simplify right side
    206,695.13x = 85,587,842,916
  5. Step 5: Solve for x
    x = 85,587,842,916/206,695.13
  6. Step 6: Final answer
    x = 414,077.70

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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.