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Finding the Third Proportional to 69.19 and 166.97

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Solution

The third proportional to 69.19 and 166.97 is: 402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 166.97 = 166.97 : x
  2. Step 2: Convert to fraction form
    69.19/166.97 = 166.97/x
  3. Step 3: Cross multiply
    69.19x = 166.97 × 166.97
  4. Step 4: Simplify right side
    69.19x = 27,878.56
  5. Step 5: Solve for x
    x = 27,878.56/69.19
  6. Step 6: Final answer
    x = 402.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.