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Finding the Third Proportional to 184,019 and 394,270

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Solution

The third proportional to 184,019 and 394,270 is: 844,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,019 : 394,270 = 394,270 : x
  2. Step 2: Convert to fraction form
    184,019/394,270 = 394,270/x
  3. Step 3: Cross multiply
    184,019x = 394,270 × 394,270
  4. Step 4: Simplify right side
    184,019x = 155,448,832,900
  5. Step 5: Solve for x
    x = 155,448,832,900/184,019
  6. Step 6: Final answer
    x = 844,743.38

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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.