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Finding the Third Proportional to 218,408 and 329,150

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Solution

The third proportional to 218,408 and 329,150 is: 496,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,408 : 329,150 = 329,150 : x
  2. Step 2: Convert to fraction form
    218,408/329,150 = 329,150/x
  3. Step 3: Cross multiply
    218,408x = 329,150 × 329,150
  4. Step 4: Simplify right side
    218,408x = 108,339,722,500
  5. Step 5: Solve for x
    x = 108,339,722,500/218,408
  6. Step 6: Final answer
    x = 496,042.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.