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Finding the Third Proportional to 119,029.50 and 247,923

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Solution

The third proportional to 119,029.50 and 247,923 is: 516,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,029.50 : 247,923 = 247,923 : x
  2. Step 2: Convert to fraction form
    119,029.50/247,923 = 247,923/x
  3. Step 3: Cross multiply
    119,029.50x = 247,923 × 247,923
  4. Step 4: Simplify right side
    119,029.50x = 61,465,813,929
  5. Step 5: Solve for x
    x = 61,465,813,929/119,029.50
  6. Step 6: Final answer
    x = 516,391.43

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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.