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Finding the Third Proportional to 181.38 and 237.44

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Solution

The third proportional to 181.38 and 237.44 is: 310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 237.44 = 237.44 : x
  2. Step 2: Convert to fraction form
    181.38/237.44 = 237.44/x
  3. Step 3: Cross multiply
    181.38x = 237.44 × 237.44
  4. Step 4: Simplify right side
    181.38x = 56,376.57
  5. Step 5: Solve for x
    x = 56,376.57/181.38
  6. Step 6: Final answer
    x = 310.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.