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Finding the Third Proportional to 79.89 and 167.85

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Solution

The third proportional to 79.89 and 167.85 is: 352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.89 : 167.85 = 167.85 : x
  2. Step 2: Convert to fraction form
    79.89/167.85 = 167.85/x
  3. Step 3: Cross multiply
    79.89x = 167.85 × 167.85
  4. Step 4: Simplify right side
    79.89x = 28,174.80
  5. Step 5: Solve for x
    x = 28,174.80/79.89
  6. Step 6: Final answer
    x = 352.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.