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Finding the Third Proportional to 150,172 and 224,812

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Solution

The third proportional to 150,172 and 224,812 is: 336,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,172 : 224,812 = 224,812 : x
  2. Step 2: Convert to fraction form
    150,172/224,812 = 224,812/x
  3. Step 3: Cross multiply
    150,172x = 224,812 × 224,812
  4. Step 4: Simplify right side
    150,172x = 50,540,435,344
  5. Step 5: Solve for x
    x = 50,540,435,344/150,172
  6. Step 6: Final answer
    x = 336,550.32

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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.