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Finding the Third Proportional to 166,529 and 253,966

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Solution

The third proportional to 166,529 and 253,966 is: 387,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,529 : 253,966 = 253,966 : x
  2. Step 2: Convert to fraction form
    166,529/253,966 = 253,966/x
  3. Step 3: Cross multiply
    166,529x = 253,966 × 253,966
  4. Step 4: Simplify right side
    166,529x = 64,498,729,156
  5. Step 5: Solve for x
    x = 64,498,729,156/166,529
  6. Step 6: Final answer
    x = 387,312.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.