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Finding the Third Proportional to 140,886 and 332,238.75

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Solution

The third proportional to 140,886 and 332,238.75 is: 783,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886 : 332,238.75 = 332,238.75 : x
  2. Step 2: Convert to fraction form
    140,886/332,238.75 = 332,238.75/x
  3. Step 3: Cross multiply
    140,886x = 332,238.75 × 332,238.75
  4. Step 4: Simplify right side
    140,886x = 110,382,587,001.56
  5. Step 5: Solve for x
    x = 110,382,587,001.56/140,886
  6. Step 6: Final answer
    x = 783,488.69

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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.