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Finding the Third Proportional to 237.84 and 337.78

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Solution

The third proportional to 237.84 and 337.78 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 337.78 = 337.78 : x
  2. Step 2: Convert to fraction form
    237.84/337.78 = 337.78/x
  3. Step 3: Cross multiply
    237.84x = 337.78 × 337.78
  4. Step 4: Simplify right side
    237.84x = 114,096.17
  5. Step 5: Solve for x
    x = 114,096.17/237.84
  6. Step 6: Final answer
    x = 479.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.