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Finding the Third Proportional to 165.48 and 363.55

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Solution

The third proportional to 165.48 and 363.55 is: 798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 363.55 = 363.55 : x
  2. Step 2: Convert to fraction form
    165.48/363.55 = 363.55/x
  3. Step 3: Cross multiply
    165.48x = 363.55 × 363.55
  4. Step 4: Simplify right side
    165.48x = 132,169.17
  5. Step 5: Solve for x
    x = 132,169.17/165.48
  6. Step 6: Final answer
    x = 798.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.