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Finding the Third Proportional to 185.20 and 281.81

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Solution

The third proportional to 185.20 and 281.81 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 281.81 = 281.81 : x
  2. Step 2: Convert to fraction form
    185.20/281.81 = 281.81/x
  3. Step 3: Cross multiply
    185.20x = 281.81 × 281.81
  4. Step 4: Simplify right side
    185.20x = 79,418.29
  5. Step 5: Solve for x
    x = 79,418.29/185.20
  6. Step 6: Final answer
    x = 428.82

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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.