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Finding the Third Proportional to 116.73 and 252.68

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Solution

The third proportional to 116.73 and 252.68 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.73 : 252.68 = 252.68 : x
  2. Step 2: Convert to fraction form
    116.73/252.68 = 252.68/x
  3. Step 3: Cross multiply
    116.73x = 252.68 × 252.68
  4. Step 4: Simplify right side
    116.73x = 63,849.71
  5. Step 5: Solve for x
    x = 63,849.71/116.73
  6. Step 6: Final answer
    x = 546.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.