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Finding the Third Proportional to 116.97 and 272.69

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Solution

The third proportional to 116.97 and 272.69 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 272.69 = 272.69 : x
  2. Step 2: Convert to fraction form
    116.97/272.69 = 272.69/x
  3. Step 3: Cross multiply
    116.97x = 272.69 × 272.69
  4. Step 4: Simplify right side
    116.97x = 74,358.47
  5. Step 5: Solve for x
    x = 74,358.47/116.97
  6. Step 6: Final answer
    x = 635.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.