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Finding the Third Proportional to 118.97 and 253.97

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Solution

The third proportional to 118.97 and 253.97 is: 542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.97 : 253.97 = 253.97 : x
  2. Step 2: Convert to fraction form
    118.97/253.97 = 253.97/x
  3. Step 3: Cross multiply
    118.97x = 253.97 × 253.97
  4. Step 4: Simplify right side
    118.97x = 64,500.13
  5. Step 5: Solve for x
    x = 64,500.13/118.97
  6. Step 6: Final answer
    x = 542.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.