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Finding the Third Proportional to 116.88 and 252.13

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Solution

The third proportional to 116.88 and 252.13 is: 543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 252.13 = 252.13 : x
  2. Step 2: Convert to fraction form
    116.88/252.13 = 252.13/x
  3. Step 3: Cross multiply
    116.88x = 252.13 × 252.13
  4. Step 4: Simplify right side
    116.88x = 63,567.02
  5. Step 5: Solve for x
    x = 63,567.02/116.88
  6. Step 6: Final answer
    x = 543.89

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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.