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Finding the Third Proportional to 239,344 and 363,990

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Solution

The third proportional to 239,344 and 363,990 is: 553,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,344 : 363,990 = 363,990 : x
  2. Step 2: Convert to fraction form
    239,344/363,990 = 363,990/x
  3. Step 3: Cross multiply
    239,344x = 363,990 × 363,990
  4. Step 4: Simplify right side
    239,344x = 132,488,720,100
  5. Step 5: Solve for x
    x = 132,488,720,100/239,344
  6. Step 6: Final answer
    x = 553,549.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.