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Finding the Third Proportional to 165.96 and 363.97

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Solution

The third proportional to 165.96 and 363.97 is: 798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 363.97 = 363.97 : x
  2. Step 2: Convert to fraction form
    165.96/363.97 = 363.97/x
  3. Step 3: Cross multiply
    165.96x = 363.97 × 363.97
  4. Step 4: Simplify right side
    165.96x = 132,471.30
  5. Step 5: Solve for x
    x = 132,471.30/165.96
  6. Step 6: Final answer
    x = 798.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.