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Finding the Third Proportional to 194,912 and 419,902

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Solution

The third proportional to 194,912 and 419,902 is: 904,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912 : 419,902 = 419,902 : x
  2. Step 2: Convert to fraction form
    194,912/419,902 = 419,902/x
  3. Step 3: Cross multiply
    194,912x = 419,902 × 419,902
  4. Step 4: Simplify right side
    194,912x = 176,317,689,604
  5. Step 5: Solve for x
    x = 176,317,689,604/194,912
  6. Step 6: Final answer
    x = 904,601.51

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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.