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Finding the Third Proportional to 110,466 and 239,642

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Solution

The third proportional to 110,466 and 239,642 is: 519,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,466 : 239,642 = 239,642 : x
  2. Step 2: Convert to fraction form
    110,466/239,642 = 239,642/x
  3. Step 3: Cross multiply
    110,466x = 239,642 × 239,642
  4. Step 4: Simplify right side
    110,466x = 57,428,288,164
  5. Step 5: Solve for x
    x = 57,428,288,164/110,466
  6. Step 6: Final answer
    x = 519,872.98

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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.