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Finding the Third Proportional to 119,098 and 247,997

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Solution

The third proportional to 119,098 and 247,997 is: 516,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098 : 247,997 = 247,997 : x
  2. Step 2: Convert to fraction form
    119,098/247,997 = 247,997/x
  3. Step 3: Cross multiply
    119,098x = 247,997 × 247,997
  4. Step 4: Simplify right side
    119,098x = 61,502,512,009
  5. Step 5: Solve for x
    x = 61,502,512,009/119,098
  6. Step 6: Final answer
    x = 516,402.56

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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.