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Finding the Third Proportional to 109,951 and 239,650

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Solution

The third proportional to 109,951 and 239,650 is: 522,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,951 : 239,650 = 239,650 : x
  2. Step 2: Convert to fraction form
    109,951/239,650 = 239,650/x
  3. Step 3: Cross multiply
    109,951x = 239,650 × 239,650
  4. Step 4: Simplify right side
    109,951x = 57,432,122,500
  5. Step 5: Solve for x
    x = 57,432,122,500/109,951
  6. Step 6: Final answer
    x = 522,342.88

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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.