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Finding the Third Proportional to 275,996.25 and 415,359

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Solution

The third proportional to 275,996.25 and 415,359 is: 625,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,996.25 : 415,359 = 415,359 : x
  2. Step 2: Convert to fraction form
    275,996.25/415,359 = 415,359/x
  3. Step 3: Cross multiply
    275,996.25x = 415,359 × 415,359
  4. Step 4: Simplify right side
    275,996.25x = 172,523,098,881
  5. Step 5: Solve for x
    x = 172,523,098,881/275,996.25
  6. Step 6: Final answer
    x = 625,092.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.