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Finding the Third Proportional to 167.18 and 252.97

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Solution

The third proportional to 167.18 and 252.97 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.18 : 252.97 = 252.97 : x
  2. Step 2: Convert to fraction form
    167.18/252.97 = 252.97/x
  3. Step 3: Cross multiply
    167.18x = 252.97 × 252.97
  4. Step 4: Simplify right side
    167.18x = 63,992.20
  5. Step 5: Solve for x
    x = 63,992.20/167.18
  6. Step 6: Final answer
    x = 382.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.