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Finding the Third Proportional to 140,658.75 and 331,834.50

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Solution

The third proportional to 140,658.75 and 331,834.50 is: 782,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.75 : 331,834.50 = 331,834.50 : x
  2. Step 2: Convert to fraction form
    140,658.75/331,834.50 = 331,834.50/x
  3. Step 3: Cross multiply
    140,658.75x = 331,834.50 × 331,834.50
  4. Step 4: Simplify right side
    140,658.75x = 110,114,135,390.25
  5. Step 5: Solve for x
    x = 110,114,135,390.25/140,658.75
  6. Step 6: Final answer
    x = 782,845.97

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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.