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Finding the Third Proportional to 192,665.06 and 413,736.19

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Solution

The third proportional to 192,665.06 and 413,736.19 is: 888,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665.06 : 413,736.19 = 413,736.19 : x
  2. Step 2: Convert to fraction form
    192,665.06/413,736.19 = 413,736.19/x
  3. Step 3: Cross multiply
    192,665.06x = 413,736.19 × 413,736.19
  4. Step 4: Simplify right side
    192,665.06x = 171,177,632,847.04
  5. Step 5: Solve for x
    x = 171,177,632,847.04/192,665.06
  6. Step 6: Final answer
    x = 888,472.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.