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Finding the Third Proportional to 149,626.50 and 224,589

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Solution

The third proportional to 149,626.50 and 224,589 is: 337,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,626.50 : 224,589 = 224,589 : x
  2. Step 2: Convert to fraction form
    149,626.50/224,589 = 224,589/x
  3. Step 3: Cross multiply
    149,626.50x = 224,589 × 224,589
  4. Step 4: Simplify right side
    149,626.50x = 50,440,218,921
  5. Step 5: Solve for x
    x = 50,440,218,921/149,626.50
  6. Step 6: Final answer
    x = 337,107.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.