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Finding the Third Proportional to 76.69 and 166.88

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Solution

The third proportional to 76.69 and 166.88 is: 363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 166.88 = 166.88 : x
  2. Step 2: Convert to fraction form
    76.69/166.88 = 166.88/x
  3. Step 3: Cross multiply
    76.69x = 166.88 × 166.88
  4. Step 4: Simplify right side
    76.69x = 27,847.27
  5. Step 5: Solve for x
    x = 27,847.27/76.69
  6. Step 6: Final answer
    x = 363.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.