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Finding the Third Proportional to 192,839 and 298,550

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Solution

The third proportional to 192,839 and 298,550 is: 462,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,839 : 298,550 = 298,550 : x
  2. Step 2: Convert to fraction form
    192,839/298,550 = 298,550/x
  3. Step 3: Cross multiply
    192,839x = 298,550 × 298,550
  4. Step 4: Simplify right side
    192,839x = 89,132,102,500
  5. Step 5: Solve for x
    x = 89,132,102,500/192,839
  6. Step 6: Final answer
    x = 462,209.94

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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.