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Finding the Third Proportional to 119,856 and 254,493

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Solution

The third proportional to 119,856 and 254,493 is: 540,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856 : 254,493 = 254,493 : x
  2. Step 2: Convert to fraction form
    119,856/254,493 = 254,493/x
  3. Step 3: Cross multiply
    119,856x = 254,493 × 254,493
  4. Step 4: Simplify right side
    119,856x = 64,766,687,049
  5. Step 5: Solve for x
    x = 64,766,687,049/119,856
  6. Step 6: Final answer
    x = 540,370.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.