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Finding the Third Proportional to 140,493 and 331,639.50

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Solution

The third proportional to 140,493 and 331,639.50 is: 782,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,493 : 331,639.50 = 331,639.50 : x
  2. Step 2: Convert to fraction form
    140,493/331,639.50 = 331,639.50/x
  3. Step 3: Cross multiply
    140,493x = 331,639.50 × 331,639.50
  4. Step 4: Simplify right side
    140,493x = 109,984,757,960.25
  5. Step 5: Solve for x
    x = 109,984,757,960.25/140,493
  6. Step 6: Final answer
    x = 782,848.67

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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.