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Finding the Third Proportional to 104,438 and 220,782

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Solution

The third proportional to 104,438 and 220,782 is: 466,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,438 : 220,782 = 220,782 : x
  2. Step 2: Convert to fraction form
    104,438/220,782 = 220,782/x
  3. Step 3: Cross multiply
    104,438x = 220,782 × 220,782
  4. Step 4: Simplify right side
    104,438x = 48,744,691,524
  5. Step 5: Solve for x
    x = 48,744,691,524/104,438
  6. Step 6: Final answer
    x = 466,733.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.