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Finding the Third Proportional to 251.50 and 333.38

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Solution

The third proportional to 251.50 and 333.38 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 333.38 = 333.38 : x
  2. Step 2: Convert to fraction form
    251.50/333.38 = 333.38/x
  3. Step 3: Cross multiply
    251.50x = 333.38 × 333.38
  4. Step 4: Simplify right side
    251.50x = 111,138.89
  5. Step 5: Solve for x
    x = 111,138.89/251.50
  6. Step 6: Final answer
    x = 441.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.