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Finding the Third Proportional to 199,674 and 300,324

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Solution

The third proportional to 199,674 and 300,324 is: 451,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674 : 300,324 = 300,324 : x
  2. Step 2: Convert to fraction form
    199,674/300,324 = 300,324/x
  3. Step 3: Cross multiply
    199,674x = 300,324 × 300,324
  4. Step 4: Simplify right side
    199,674x = 90,194,504,976
  5. Step 5: Solve for x
    x = 90,194,504,976/199,674
  6. Step 6: Final answer
    x = 451,708.81

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Why These Related Problems?

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