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Finding the Third Proportional to 102,523 and 220,374

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Solution

The third proportional to 102,523 and 220,374 is: 473,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523 : 220,374 = 220,374 : x
  2. Step 2: Convert to fraction form
    102,523/220,374 = 220,374/x
  3. Step 3: Cross multiply
    102,523x = 220,374 × 220,374
  4. Step 4: Simplify right side
    102,523x = 48,564,699,876
  5. Step 5: Solve for x
    x = 48,564,699,876/102,523
  6. Step 6: Final answer
    x = 473,695.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.