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Finding the Third Proportional to 140,616.75 and 331,738.50

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Solution

The third proportional to 140,616.75 and 331,738.50 is: 782,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,616.75 : 331,738.50 = 331,738.50 : x
  2. Step 2: Convert to fraction form
    140,616.75/331,738.50 = 331,738.50/x
  3. Step 3: Cross multiply
    140,616.75x = 331,738.50 × 331,738.50
  4. Step 4: Simplify right side
    140,616.75x = 110,050,432,382.25
  5. Step 5: Solve for x
    x = 110,050,432,382.25/140,616.75
  6. Step 6: Final answer
    x = 782,626.77

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