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Finding the Third Proportional to 220,414 and 329,766

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Solution

The third proportional to 220,414 and 329,766 is: 493,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414 : 329,766 = 329,766 : x
  2. Step 2: Convert to fraction form
    220,414/329,766 = 329,766/x
  3. Step 3: Cross multiply
    220,414x = 329,766 × 329,766
  4. Step 4: Simplify right side
    220,414x = 108,745,614,756
  5. Step 5: Solve for x
    x = 108,745,614,756/220,414
  6. Step 6: Final answer
    x = 493,369.82

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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.