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Finding the Third Proportional to 198,546 and 419,172

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Solution

The third proportional to 198,546 and 419,172 is: 884,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,546 : 419,172 = 419,172 : x
  2. Step 2: Convert to fraction form
    198,546/419,172 = 419,172/x
  3. Step 3: Cross multiply
    198,546x = 419,172 × 419,172
  4. Step 4: Simplify right side
    198,546x = 175,705,165,584
  5. Step 5: Solve for x
    x = 175,705,165,584/198,546
  6. Step 6: Final answer
    x = 884,959.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.