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Finding the Third Proportional to 150,174 and 224,814

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Solution

The third proportional to 150,174 and 224,814 is: 336,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174 : 224,814 = 224,814 : x
  2. Step 2: Convert to fraction form
    150,174/224,814 = 224,814/x
  3. Step 3: Cross multiply
    150,174x = 224,814 × 224,814
  4. Step 4: Simplify right side
    150,174x = 50,541,334,596
  5. Step 5: Solve for x
    x = 50,541,334,596/150,174
  6. Step 6: Final answer
    x = 336,551.83

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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.