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Finding the Third Proportional to 192,792.66 and 300,169.97

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Solution

The third proportional to 192,792.66 and 300,169.97 is: 467,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,792.66 : 300,169.97 = 300,169.97 : x
  2. Step 2: Convert to fraction form
    192,792.66/300,169.97 = 300,169.97/x
  3. Step 3: Cross multiply
    192,792.66x = 300,169.97 × 300,169.97
  4. Step 4: Simplify right side
    192,792.66x = 90,102,010,139.38
  5. Step 5: Solve for x
    x = 90,102,010,139.38/192,792.66
  6. Step 6: Final answer
    x = 467,351.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.