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Finding the Third Proportional to 194,839 and 419,269

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Solution

The third proportional to 194,839 and 419,269 is: 902,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,839 : 419,269 = 419,269 : x
  2. Step 2: Convert to fraction form
    194,839/419,269 = 419,269/x
  3. Step 3: Cross multiply
    194,839x = 419,269 × 419,269
  4. Step 4: Simplify right side
    194,839x = 175,786,494,361
  5. Step 5: Solve for x
    x = 175,786,494,361/194,839
  6. Step 6: Final answer
    x = 902,214.11

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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.