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Finding the Third Proportional to 165.38 and 251.81

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Solution

The third proportional to 165.38 and 251.81 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 251.81 = 251.81 : x
  2. Step 2: Convert to fraction form
    165.38/251.81 = 251.81/x
  3. Step 3: Cross multiply
    165.38x = 251.81 × 251.81
  4. Step 4: Simplify right side
    165.38x = 63,409.54
  5. Step 5: Solve for x
    x = 63,409.54/165.38
  6. Step 6: Final answer
    x = 383.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.