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Finding the Third Proportional to 166.88 and 363.84

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Solution

The third proportional to 166.88 and 363.84 is: 793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 363.84 = 363.84 : x
  2. Step 2: Convert to fraction form
    166.88/363.84 = 363.84/x
  3. Step 3: Cross multiply
    166.88x = 363.84 × 363.84
  4. Step 4: Simplify right side
    166.88x = 132,382.27
  5. Step 5: Solve for x
    x = 132,382.27/166.88
  6. Step 6: Final answer
    x = 793.30

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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.