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Finding the Third Proportional to 119,002 and 247,860

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Solution

The third proportional to 119,002 and 247,860 is: 516,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,002 : 247,860 = 247,860 : x
  2. Step 2: Convert to fraction form
    119,002/247,860 = 247,860/x
  3. Step 3: Cross multiply
    119,002x = 247,860 × 247,860
  4. Step 4: Simplify right side
    119,002x = 61,434,579,600
  5. Step 5: Solve for x
    x = 61,434,579,600/119,002
  6. Step 6: Final answer
    x = 516,248.29

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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.