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Finding the Third Proportional to 114,919.50 and 267,049.50

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Solution

The third proportional to 114,919.50 and 267,049.50 is: 620,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,919.50 : 267,049.50 = 267,049.50 : x
  2. Step 2: Convert to fraction form
    114,919.50/267,049.50 = 267,049.50/x
  3. Step 3: Cross multiply
    114,919.50x = 267,049.50 × 267,049.50
  4. Step 4: Simplify right side
    114,919.50x = 71,315,435,450.25
  5. Step 5: Solve for x
    x = 71,315,435,450.25/114,919.50
  6. Step 6: Final answer
    x = 620,568.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.