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Finding the Third Proportional to 238.78 and 445.92

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Solution

The third proportional to 238.78 and 445.92 is: 832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 445.92 = 445.92 : x
  2. Step 2: Convert to fraction form
    238.78/445.92 = 445.92/x
  3. Step 3: Cross multiply
    238.78x = 445.92 × 445.92
  4. Step 4: Simplify right side
    238.78x = 198,846.32
  5. Step 5: Solve for x
    x = 198,846.32/238.78
  6. Step 6: Final answer
    x = 832.76

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.