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Finding the Third Proportional to 119,048 and 247,958

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Solution

The third proportional to 119,048 and 247,958 is: 516,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,048 : 247,958 = 247,958 : x
  2. Step 2: Convert to fraction form
    119,048/247,958 = 247,958/x
  3. Step 3: Cross multiply
    119,048x = 247,958 × 247,958
  4. Step 4: Simplify right side
    119,048x = 61,483,169,764
  5. Step 5: Solve for x
    x = 61,483,169,764/119,048
  6. Step 6: Final answer
    x = 516,456.97

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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.