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Finding the Third Proportional to 239,533 and 399,198

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Solution

The third proportional to 239,533 and 399,198 is: 665,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,533 : 399,198 = 399,198 : x
  2. Step 2: Convert to fraction form
    239,533/399,198 = 399,198/x
  3. Step 3: Cross multiply
    239,533x = 399,198 × 399,198
  4. Step 4: Simplify right side
    239,533x = 159,359,043,204
  5. Step 5: Solve for x
    x = 159,359,043,204/239,533
  6. Step 6: Final answer
    x = 665,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.