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Finding the Third Proportional to 184,046 and 394,337

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Solution

The third proportional to 184,046 and 394,337 is: 844,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,046 : 394,337 = 394,337 : x
  2. Step 2: Convert to fraction form
    184,046/394,337 = 394,337/x
  3. Step 3: Cross multiply
    184,046x = 394,337 × 394,337
  4. Step 4: Simplify right side
    184,046x = 155,501,669,569
  5. Step 5: Solve for x
    x = 155,501,669,569/184,046
  6. Step 6: Final answer
    x = 844,906.54

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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.