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Finding the Third Proportional to 238.78 and 517.92

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Solution

The third proportional to 238.78 and 517.92 is: 1,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 517.92 = 517.92 : x
  2. Step 2: Convert to fraction form
    238.78/517.92 = 517.92/x
  3. Step 3: Cross multiply
    238.78x = 517.92 × 517.92
  4. Step 4: Simplify right side
    238.78x = 268,243.07
  5. Step 5: Solve for x
    x = 268,243.07/238.78
  6. Step 6: Final answer
    x = 1,123.38

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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.