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Finding the Third Proportional to 181,544 and 394,082

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Solution

The third proportional to 181,544 and 394,082 is: 855,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544 : 394,082 = 394,082 : x
  2. Step 2: Convert to fraction form
    181,544/394,082 = 394,082/x
  3. Step 3: Cross multiply
    181,544x = 394,082 × 394,082
  4. Step 4: Simplify right side
    181,544x = 155,300,622,724
  5. Step 5: Solve for x
    x = 155,300,622,724/181,544
  6. Step 6: Final answer
    x = 855,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.