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Finding the Third Proportional to 184,158 and 394,452

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Solution

The third proportional to 184,158 and 394,452 is: 844,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,158 : 394,452 = 394,452 : x
  2. Step 2: Convert to fraction form
    184,158/394,452 = 394,452/x
  3. Step 3: Cross multiply
    184,158x = 394,452 × 394,452
  4. Step 4: Simplify right side
    184,158x = 155,592,380,304
  5. Step 5: Solve for x
    x = 155,592,380,304/184,158
  6. Step 6: Final answer
    x = 844,885.26

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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.