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Finding the Third Proportional to 119,192 and 248,182

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Solution

The third proportional to 119,192 and 248,182 is: 516,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,192 : 248,182 = 248,182 : x
  2. Step 2: Convert to fraction form
    119,192/248,182 = 248,182/x
  3. Step 3: Cross multiply
    119,192x = 248,182 × 248,182
  4. Step 4: Simplify right side
    119,192x = 61,594,305,124
  5. Step 5: Solve for x
    x = 61,594,305,124/119,192
  6. Step 6: Final answer
    x = 516,765.43

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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.