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Finding the Third Proportional to 192,279 and 298,498

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Solution

The third proportional to 192,279 and 298,498 is: 463,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,279 : 298,498 = 298,498 : x
  2. Step 2: Convert to fraction form
    192,279/298,498 = 298,498/x
  3. Step 3: Cross multiply
    192,279x = 298,498 × 298,498
  4. Step 4: Simplify right side
    192,279x = 89,101,056,004
  5. Step 5: Solve for x
    x = 89,101,056,004/192,279
  6. Step 6: Final answer
    x = 463,394.63

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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.