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Finding the Third Proportional to 166.43 and 250.91

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Solution

The third proportional to 166.43 and 250.91 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.43 : 250.91 = 250.91 : x
  2. Step 2: Convert to fraction form
    166.43/250.91 = 250.91/x
  3. Step 3: Cross multiply
    166.43x = 250.91 × 250.91
  4. Step 4: Simplify right side
    166.43x = 62,955.91
  5. Step 5: Solve for x
    x = 62,955.91/166.43
  6. Step 6: Final answer
    x = 378.27

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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.