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Finding the Third Proportional to 156,000 and 251,227

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Solution

The third proportional to 156,000 and 251,227 is: 404,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,000 : 251,227 = 251,227 : x
  2. Step 2: Convert to fraction form
    156,000/251,227 = 251,227/x
  3. Step 3: Cross multiply
    156,000x = 251,227 × 251,227
  4. Step 4: Simplify right side
    156,000x = 63,115,005,529
  5. Step 5: Solve for x
    x = 63,115,005,529/156,000
  6. Step 6: Final answer
    x = 404,583.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.