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Finding the Third Proportional to 165.66 and 362.11

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Solution

The third proportional to 165.66 and 362.11 is: 791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 362.11 = 362.11 : x
  2. Step 2: Convert to fraction form
    165.66/362.11 = 362.11/x
  3. Step 3: Cross multiply
    165.66x = 362.11 × 362.11
  4. Step 4: Simplify right side
    165.66x = 131,123.20
  5. Step 5: Solve for x
    x = 131,123.20/165.66
  6. Step 6: Final answer
    x = 791.54

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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.