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Finding the Third Proportional to 192,304.13 and 298,540.69

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Solution

The third proportional to 192,304.13 and 298,540.69 is: 463,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,304.13 : 298,540.69 = 298,540.69 : x
  2. Step 2: Convert to fraction form
    192,304.13/298,540.69 = 298,540.69/x
  3. Step 3: Cross multiply
    192,304.13x = 298,540.69 × 298,540.69
  4. Step 4: Simplify right side
    192,304.13x = 89,126,542,092.97
  5. Step 5: Solve for x
    x = 89,126,542,092.97/192,304.13
  6. Step 6: Final answer
    x = 463,466.62

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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.