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Finding the Third Proportional to 194,800 and 419,188

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Solution

The third proportional to 194,800 and 419,188 is: 902,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,800 : 419,188 = 419,188 : x
  2. Step 2: Convert to fraction form
    194,800/419,188 = 419,188/x
  3. Step 3: Cross multiply
    194,800x = 419,188 × 419,188
  4. Step 4: Simplify right side
    194,800x = 175,718,579,344
  5. Step 5: Solve for x
    x = 175,718,579,344/194,800
  6. Step 6: Final answer
    x = 902,046.10

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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.