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Finding the Third Proportional to 194,790 and 419,172

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Solution

The third proportional to 194,790 and 419,172 is: 902,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,790 : 419,172 = 419,172 : x
  2. Step 2: Convert to fraction form
    194,790/419,172 = 419,172/x
  3. Step 3: Cross multiply
    194,790x = 419,172 × 419,172
  4. Step 4: Simplify right side
    194,790x = 175,705,165,584
  5. Step 5: Solve for x
    x = 175,705,165,584/194,790
  6. Step 6: Final answer
    x = 902,023.54

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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.