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Finding the Third Proportional to 234.69 and 523.31

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Solution

The third proportional to 234.69 and 523.31 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 523.31 = 523.31 : x
  2. Step 2: Convert to fraction form
    234.69/523.31 = 523.31/x
  3. Step 3: Cross multiply
    234.69x = 523.31 × 523.31
  4. Step 4: Simplify right side
    234.69x = 273,855.97
  5. Step 5: Solve for x
    x = 273,855.97/234.69
  6. Step 6: Final answer
    x = 1,166.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.