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Finding the Third Proportional to 109,767 and 239,424

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Solution

The third proportional to 109,767 and 239,424 is: 522,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,767 : 239,424 = 239,424 : x
  2. Step 2: Convert to fraction form
    109,767/239,424 = 239,424/x
  3. Step 3: Cross multiply
    109,767x = 239,424 × 239,424
  4. Step 4: Simplify right side
    109,767x = 57,323,851,776
  5. Step 5: Solve for x
    x = 57,323,851,776/109,767
  6. Step 6: Final answer
    x = 522,232.11

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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.