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Finding the Third Proportional to 115,350 and 247,950

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Solution

The third proportional to 115,350 and 247,950 is: 532,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,350 : 247,950 = 247,950 : x
  2. Step 2: Convert to fraction form
    115,350/247,950 = 247,950/x
  3. Step 3: Cross multiply
    115,350x = 247,950 × 247,950
  4. Step 4: Simplify right side
    115,350x = 61,479,202,500
  5. Step 5: Solve for x
    x = 61,479,202,500/115,350
  6. Step 6: Final answer
    x = 532,979.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.