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Finding the Third Proportional to 110,376 and 239,957

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Solution

The third proportional to 110,376 and 239,957 is: 521,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,376 : 239,957 = 239,957 : x
  2. Step 2: Convert to fraction form
    110,376/239,957 = 239,957/x
  3. Step 3: Cross multiply
    110,376x = 239,957 × 239,957
  4. Step 4: Simplify right side
    110,376x = 57,579,361,849
  5. Step 5: Solve for x
    x = 57,579,361,849/110,376
  6. Step 6: Final answer
    x = 521,665.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.