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Finding the Third Proportional to 199,636 and 300,264

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Solution

The third proportional to 199,636 and 300,264 is: 451,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,636 : 300,264 = 300,264 : x
  2. Step 2: Convert to fraction form
    199,636/300,264 = 300,264/x
  3. Step 3: Cross multiply
    199,636x = 300,264 × 300,264
  4. Step 4: Simplify right side
    199,636x = 90,158,469,696
  5. Step 5: Solve for x
    x = 90,158,469,696/199,636
  6. Step 6: Final answer
    x = 451,614.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.