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Finding the Third Proportional to 140,856.75 and 332,175.94

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Solution

The third proportional to 140,856.75 and 332,175.94 is: 783,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,856.75 : 332,175.94 = 332,175.94 : x
  2. Step 2: Convert to fraction form
    140,856.75/332,175.94 = 332,175.94/x
  3. Step 3: Cross multiply
    140,856.75x = 332,175.94 × 332,175.94
  4. Step 4: Simplify right side
    140,856.75x = 110,340,853,454.00
  5. Step 5: Solve for x
    x = 110,340,853,454.00/140,856.75
  6. Step 6: Final answer
    x = 783,355.10

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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.