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Finding the Third Proportional to 166.75 and 363.87

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Solution

The third proportional to 166.75 and 363.87 is: 794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 363.87 = 363.87 : x
  2. Step 2: Convert to fraction form
    166.75/363.87 = 363.87/x
  3. Step 3: Cross multiply
    166.75x = 363.87 × 363.87
  4. Step 4: Simplify right side
    166.75x = 132,399.33
  5. Step 5: Solve for x
    x = 132,399.33/166.75
  6. Step 6: Final answer
    x = 794.02

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Why These Related Problems?

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