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Finding the Third Proportional to 192,928 and 298,698

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Solution

The third proportional to 192,928 and 298,698 is: 462,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,928 : 298,698 = 298,698 : x
  2. Step 2: Convert to fraction form
    192,928/298,698 = 298,698/x
  3. Step 3: Cross multiply
    192,928x = 298,698 × 298,698
  4. Step 4: Simplify right side
    192,928x = 89,220,495,204
  5. Step 5: Solve for x
    x = 89,220,495,204/192,928
  6. Step 6: Final answer
    x = 462,454.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.