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Finding the Third Proportional to 166.99 and 355.92

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Solution

The third proportional to 166.99 and 355.92 is: 758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.99 : 355.92 = 355.92 : x
  2. Step 2: Convert to fraction form
    166.99/355.92 = 355.92/x
  3. Step 3: Cross multiply
    166.99x = 355.92 × 355.92
  4. Step 4: Simplify right side
    166.99x = 126,680.38
  5. Step 5: Solve for x
    x = 126,680.38/166.99
  6. Step 6: Final answer
    x = 758.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.