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Finding the Third Proportional to 166.73 and 363.80

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Solution

The third proportional to 166.73 and 363.80 is: 793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 363.80 = 363.80 : x
  2. Step 2: Convert to fraction form
    166.73/363.80 = 363.80/x
  3. Step 3: Cross multiply
    166.73x = 363.80 × 363.80
  4. Step 4: Simplify right side
    166.73x = 132,348.17
  5. Step 5: Solve for x
    x = 132,348.17/166.73
  6. Step 6: Final answer
    x = 793.77

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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.