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Finding the Third Proportional to 184,206 and 394,544

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Solution

The third proportional to 184,206 and 394,544 is: 845,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,206 : 394,544 = 394,544 : x
  2. Step 2: Convert to fraction form
    184,206/394,544 = 394,544/x
  3. Step 3: Cross multiply
    184,206x = 394,544 × 394,544
  4. Step 4: Simplify right side
    184,206x = 155,664,967,936
  5. Step 5: Solve for x
    x = 155,664,967,936/184,206
  6. Step 6: Final answer
    x = 845,059.16

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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.