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Finding the Third Proportional to 151,494 and 224,325

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Solution

The third proportional to 151,494 and 224,325 is: 332,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494 : 224,325 = 224,325 : x
  2. Step 2: Convert to fraction form
    151,494/224,325 = 224,325/x
  3. Step 3: Cross multiply
    151,494x = 224,325 × 224,325
  4. Step 4: Simplify right side
    151,494x = 50,321,705,625
  5. Step 5: Solve for x
    x = 50,321,705,625/151,494
  6. Step 6: Final answer
    x = 332,169.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.