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Finding the Third Proportional to 239,361 and 364,227

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Solution

The third proportional to 239,361 and 364,227 is: 554,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,361 : 364,227 = 364,227 : x
  2. Step 2: Convert to fraction form
    239,361/364,227 = 364,227/x
  3. Step 3: Cross multiply
    239,361x = 364,227 × 364,227
  4. Step 4: Simplify right side
    239,361x = 132,661,307,529
  5. Step 5: Solve for x
    x = 132,661,307,529/239,361
  6. Step 6: Final answer
    x = 554,231.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.