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Finding the Third Proportional to 119,099 and 247,999

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Solution

The third proportional to 119,099 and 247,999 is: 516,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,099 : 247,999 = 247,999 : x
  2. Step 2: Convert to fraction form
    119,099/247,999 = 247,999/x
  3. Step 3: Cross multiply
    119,099x = 247,999 × 247,999
  4. Step 4: Simplify right side
    119,099x = 61,503,504,001
  5. Step 5: Solve for x
    x = 61,503,504,001/119,099
  6. Step 6: Final answer
    x = 516,406.55

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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.