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Finding the Third Proportional to 194,615 and 419,227

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Solution

The third proportional to 194,615 and 419,227 is: 903,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615 : 419,227 = 419,227 : x
  2. Step 2: Convert to fraction form
    194,615/419,227 = 419,227/x
  3. Step 3: Cross multiply
    194,615x = 419,227 × 419,227
  4. Step 4: Simplify right side
    194,615x = 175,751,277,529
  5. Step 5: Solve for x
    x = 175,751,277,529/194,615
  6. Step 6: Final answer
    x = 903,071.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.