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Finding the Third Proportional to 234.14 and 517.64

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Solution

The third proportional to 234.14 and 517.64 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 517.64 = 517.64 : x
  2. Step 2: Convert to fraction form
    234.14/517.64 = 517.64/x
  3. Step 3: Cross multiply
    234.14x = 517.64 × 517.64
  4. Step 4: Simplify right side
    234.14x = 267,951.82
  5. Step 5: Solve for x
    x = 267,951.82/234.14
  6. Step 6: Final answer
    x = 1,144.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.