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Finding the Third Proportional to 165.38 and 282.13

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Solution

The third proportional to 165.38 and 282.13 is: 481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 282.13 = 282.13 : x
  2. Step 2: Convert to fraction form
    165.38/282.13 = 282.13/x
  3. Step 3: Cross multiply
    165.38x = 282.13 × 282.13
  4. Step 4: Simplify right side
    165.38x = 79,594.52
  5. Step 5: Solve for x
    x = 79,594.52/165.38
  6. Step 6: Final answer
    x = 481.30

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.