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Finding the Third Proportional to 149,453 and 224,741

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Solution

The third proportional to 149,453 and 224,741 is: 337,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,453 : 224,741 = 224,741 : x
  2. Step 2: Convert to fraction form
    149,453/224,741 = 224,741/x
  3. Step 3: Cross multiply
    149,453x = 224,741 × 224,741
  4. Step 4: Simplify right side
    149,453x = 50,508,517,081
  5. Step 5: Solve for x
    x = 50,508,517,081/149,453
  6. Step 6: Final answer
    x = 337,955.86

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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.