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Finding the Third Proportional to 146,704 and 220,384

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Solution

The third proportional to 146,704 and 220,384 is: 331,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,704 : 220,384 = 220,384 : x
  2. Step 2: Convert to fraction form
    146,704/220,384 = 220,384/x
  3. Step 3: Cross multiply
    146,704x = 220,384 × 220,384
  4. Step 4: Simplify right side
    146,704x = 48,569,107,456
  5. Step 5: Solve for x
    x = 48,569,107,456/146,704
  6. Step 6: Final answer
    x = 331,068.73

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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.