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Finding the Third Proportional to 166.11 and 354.85

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Solution

The third proportional to 166.11 and 354.85 is: 758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.11 : 354.85 = 354.85 : x
  2. Step 2: Convert to fraction form
    166.11/354.85 = 354.85/x
  3. Step 3: Cross multiply
    166.11x = 354.85 × 354.85
  4. Step 4: Simplify right side
    166.11x = 125,918.25
  5. Step 5: Solve for x
    x = 125,918.25/166.11
  6. Step 6: Final answer
    x = 758.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.