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Finding the Third Proportional to 115,344 and 247,941

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Solution

The third proportional to 115,344 and 247,941 is: 532,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,344 : 247,941 = 247,941 : x
  2. Step 2: Convert to fraction form
    115,344/247,941 = 247,941/x
  3. Step 3: Cross multiply
    115,344x = 247,941 × 247,941
  4. Step 4: Simplify right side
    115,344x = 61,474,739,481
  5. Step 5: Solve for x
    x = 61,474,739,481/115,344
  6. Step 6: Final answer
    x = 532,968.68

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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.