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Finding the Third Proportional to 198,736 and 300,672

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Solution

The third proportional to 198,736 and 300,672 is: 454,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,736 : 300,672 = 300,672 : x
  2. Step 2: Convert to fraction form
    198,736/300,672 = 300,672/x
  3. Step 3: Cross multiply
    198,736x = 300,672 × 300,672
  4. Step 4: Simplify right side
    198,736x = 90,403,651,584
  5. Step 5: Solve for x
    x = 90,403,651,584/198,736
  6. Step 6: Final answer
    x = 454,893.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.