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Finding the Third Proportional to 166.44 and 251.97

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Solution

The third proportional to 166.44 and 251.97 is: 381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.44 : 251.97 = 251.97 : x
  2. Step 2: Convert to fraction form
    166.44/251.97 = 251.97/x
  3. Step 3: Cross multiply
    166.44x = 251.97 × 251.97
  4. Step 4: Simplify right side
    166.44x = 63,488.25
  5. Step 5: Solve for x
    x = 63,488.25/166.44
  6. Step 6: Final answer
    x = 381.45

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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.