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Finding the Third Proportional to 150,376.50 and 267,310.13

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Solution

The third proportional to 150,376.50 and 267,310.13 is: 475,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,376.50 : 267,310.13 = 267,310.13 : x
  2. Step 2: Convert to fraction form
    150,376.50/267,310.13 = 267,310.13/x
  3. Step 3: Cross multiply
    150,376.50x = 267,310.13 × 267,310.13
  4. Step 4: Simplify right side
    150,376.50x = 71,454,702,927.52
  5. Step 5: Solve for x
    x = 71,454,702,927.52/150,376.50
  6. Step 6: Final answer
    x = 475,172.00

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.