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Finding the Third Proportional to 166.05 and 357.20

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Solution

The third proportional to 166.05 and 357.20 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 357.20 = 357.20 : x
  2. Step 2: Convert to fraction form
    166.05/357.20 = 357.20/x
  3. Step 3: Cross multiply
    166.05x = 357.20 × 357.20
  4. Step 4: Simplify right side
    166.05x = 127,593.90
  5. Step 5: Solve for x
    x = 127,593.90/166.05
  6. Step 6: Final answer
    x = 768.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.