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Finding the Third Proportional to 119,034 and 247,931

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Solution

The third proportional to 119,034 and 247,931 is: 516,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,034 : 247,931 = 247,931 : x
  2. Step 2: Convert to fraction form
    119,034/247,931 = 247,931/x
  3. Step 3: Cross multiply
    119,034x = 247,931 × 247,931
  4. Step 4: Simplify right side
    119,034x = 61,469,780,761
  5. Step 5: Solve for x
    x = 61,469,780,761/119,034
  6. Step 6: Final answer
    x = 516,405.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.