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Finding the Third Proportional to 108.14 and 232.17

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Solution

The third proportional to 108.14 and 232.17 is: 498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 232.17 = 232.17 : x
  2. Step 2: Convert to fraction form
    108.14/232.17 = 232.17/x
  3. Step 3: Cross multiply
    108.14x = 232.17 × 232.17
  4. Step 4: Simplify right side
    108.14x = 53,903.78
  5. Step 5: Solve for x
    x = 53,903.78/108.14
  6. Step 6: Final answer
    x = 498.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.