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Finding the Third Proportional to 115,345 and 247,934

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Solution

The third proportional to 115,345 and 247,934 is: 532,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,345 : 247,934 = 247,934 : x
  2. Step 2: Convert to fraction form
    115,345/247,934 = 247,934/x
  3. Step 3: Cross multiply
    115,345x = 247,934 × 247,934
  4. Step 4: Simplify right side
    115,345x = 61,471,268,356
  5. Step 5: Solve for x
    x = 61,471,268,356/115,345
  6. Step 6: Final answer
    x = 532,933.97

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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.