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Finding the Third Proportional to 185.38 and 440.38

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Solution

The third proportional to 185.38 and 440.38 is: 1,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 440.38 = 440.38 : x
  2. Step 2: Convert to fraction form
    185.38/440.38 = 440.38/x
  3. Step 3: Cross multiply
    185.38x = 440.38 × 440.38
  4. Step 4: Simplify right side
    185.38x = 193,930.14
  5. Step 5: Solve for x
    x = 193,930.14/185.38
  6. Step 6: Final answer
    x = 1,046.15

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.