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Finding the Third Proportional to 115.92 and 244.73

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Solution

The third proportional to 115.92 and 244.73 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 244.73 = 244.73 : x
  2. Step 2: Convert to fraction form
    115.92/244.73 = 244.73/x
  3. Step 3: Cross multiply
    115.92x = 244.73 × 244.73
  4. Step 4: Simplify right side
    115.92x = 59,894.91
  5. Step 5: Solve for x
    x = 59,894.91/115.92
  6. Step 6: Final answer
    x = 516.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.