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Finding the Third Proportional to 131,294 and 267,398

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Solution

The third proportional to 131,294 and 267,398 is: 544,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294 : 267,398 = 267,398 : x
  2. Step 2: Convert to fraction form
    131,294/267,398 = 267,398/x
  3. Step 3: Cross multiply
    131,294x = 267,398 × 267,398
  4. Step 4: Simplify right side
    131,294x = 71,501,690,404
  5. Step 5: Solve for x
    x = 71,501,690,404/131,294
  6. Step 6: Final answer
    x = 544,592.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.