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Finding the Third Proportional to 239,158.69 and 520,352.44

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Solution

The third proportional to 239,158.69 and 520,352.44 is: 1,132,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,158.69 : 520,352.44 = 520,352.44 : x
  2. Step 2: Convert to fraction form
    239,158.69/520,352.44 = 520,352.44/x
  3. Step 3: Cross multiply
    239,158.69x = 520,352.44 × 520,352.44
  4. Step 4: Simplify right side
    239,158.69x = 270,766,659,212.19
  5. Step 5: Solve for x
    x = 270,766,659,212.19/239,158.69
  6. Step 6: Final answer
    x = 1,132,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.