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Finding the Third Proportional to 109,723 and 239,552

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Solution

The third proportional to 109,723 and 239,552 is: 523,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,723 : 239,552 = 239,552 : x
  2. Step 2: Convert to fraction form
    109,723/239,552 = 239,552/x
  3. Step 3: Cross multiply
    109,723x = 239,552 × 239,552
  4. Step 4: Simplify right side
    109,723x = 57,385,160,704
  5. Step 5: Solve for x
    x = 57,385,160,704/109,723
  6. Step 6: Final answer
    x = 523,000.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.