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Finding the Third Proportional to 137,384 and 292,766

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Solution

The third proportional to 137,384 and 292,766 is: 623,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,384 : 292,766 = 292,766 : x
  2. Step 2: Convert to fraction form
    137,384/292,766 = 292,766/x
  3. Step 3: Cross multiply
    137,384x = 292,766 × 292,766
  4. Step 4: Simplify right side
    137,384x = 85,711,930,756
  5. Step 5: Solve for x
    x = 85,711,930,756/137,384
  6. Step 6: Final answer
    x = 623,885.83

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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.