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Finding the Third Proportional to 118,876 and 247,712

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Solution

The third proportional to 118,876 and 247,712 is: 516,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,876 : 247,712 = 247,712 : x
  2. Step 2: Convert to fraction form
    118,876/247,712 = 247,712/x
  3. Step 3: Cross multiply
    118,876x = 247,712 × 247,712
  4. Step 4: Simplify right side
    118,876x = 61,361,234,944
  5. Step 5: Solve for x
    x = 61,361,234,944/118,876
  6. Step 6: Final answer
    x = 516,178.50

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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.