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Finding the Third Proportional to 140,874 and 332,217.75

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Solution

The third proportional to 140,874 and 332,217.75 is: 783,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,874 : 332,217.75 = 332,217.75 : x
  2. Step 2: Convert to fraction form
    140,874/332,217.75 = 332,217.75/x
  3. Step 3: Cross multiply
    140,874x = 332,217.75 × 332,217.75
  4. Step 4: Simplify right side
    140,874x = 110,368,633,415.06
  5. Step 5: Solve for x
    x = 110,368,633,415.06/140,874
  6. Step 6: Final answer
    x = 783,456.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.