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Finding the Third Proportional to 108.84 and 232.66

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Solution

The third proportional to 108.84 and 232.66 is: 497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 232.66 = 232.66 : x
  2. Step 2: Convert to fraction form
    108.84/232.66 = 232.66/x
  3. Step 3: Cross multiply
    108.84x = 232.66 × 232.66
  4. Step 4: Simplify right side
    108.84x = 54,132.57
  5. Step 5: Solve for x
    x = 54,132.57/108.84
  6. Step 6: Final answer
    x = 497.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.