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Finding the Third Proportional to 183.20 and 237.62

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Solution

The third proportional to 183.20 and 237.62 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 237.62 = 237.62 : x
  2. Step 2: Convert to fraction form
    183.20/237.62 = 237.62/x
  3. Step 3: Cross multiply
    183.20x = 237.62 × 237.62
  4. Step 4: Simplify right side
    183.20x = 56,463.78
  5. Step 5: Solve for x
    x = 56,463.78/183.20
  6. Step 6: Final answer
    x = 308.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.