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Finding the Third Proportional to 198,684 and 387,378

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Solution

The third proportional to 198,684 and 387,378 is: 755,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,684 : 387,378 = 387,378 : x
  2. Step 2: Convert to fraction form
    198,684/387,378 = 387,378/x
  3. Step 3: Cross multiply
    198,684x = 387,378 × 387,378
  4. Step 4: Simplify right side
    198,684x = 150,061,714,884
  5. Step 5: Solve for x
    x = 150,061,714,884/198,684
  6. Step 6: Final answer
    x = 755,278.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.