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Finding the Third Proportional to 184,017 and 394,266

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Solution

The third proportional to 184,017 and 394,266 is: 844,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,017 : 394,266 = 394,266 : x
  2. Step 2: Convert to fraction form
    184,017/394,266 = 394,266/x
  3. Step 3: Cross multiply
    184,017x = 394,266 × 394,266
  4. Step 4: Simplify right side
    184,017x = 155,445,678,756
  5. Step 5: Solve for x
    x = 155,445,678,756/184,017
  6. Step 6: Final answer
    x = 844,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.