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Finding the Third Proportional to 192,024 and 396,330

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Solution

The third proportional to 192,024 and 396,330 is: 818,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,024 : 396,330 = 396,330 : x
  2. Step 2: Convert to fraction form
    192,024/396,330 = 396,330/x
  3. Step 3: Cross multiply
    192,024x = 396,330 × 396,330
  4. Step 4: Simplify right side
    192,024x = 157,077,468,900
  5. Step 5: Solve for x
    x = 157,077,468,900/192,024
  6. Step 6: Final answer
    x = 818,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.