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Finding the Third Proportional to 167.58 and 252.42

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Solution

The third proportional to 167.58 and 252.42 is: 380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 252.42 = 252.42 : x
  2. Step 2: Convert to fraction form
    167.58/252.42 = 252.42/x
  3. Step 3: Cross multiply
    167.58x = 252.42 × 252.42
  4. Step 4: Simplify right side
    167.58x = 63,716.80
  5. Step 5: Solve for x
    x = 63,716.80/167.58
  6. Step 6: Final answer
    x = 380.22

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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.