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Finding the Third Proportional to 108.97 and 237.16

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Solution

The third proportional to 108.97 and 237.16 is: 516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.97 : 237.16 = 237.16 : x
  2. Step 2: Convert to fraction form
    108.97/237.16 = 237.16/x
  3. Step 3: Cross multiply
    108.97x = 237.16 × 237.16
  4. Step 4: Simplify right side
    108.97x = 56,243.14
  5. Step 5: Solve for x
    x = 56,243.14/108.97
  6. Step 6: Final answer
    x = 516.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.