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Finding the Third Proportional to 184,070 and 394,384

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Solution

The third proportional to 184,070 and 394,384 is: 844,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,070 : 394,384 = 394,384 : x
  2. Step 2: Convert to fraction form
    184,070/394,384 = 394,384/x
  3. Step 3: Cross multiply
    184,070x = 394,384 × 394,384
  4. Step 4: Simplify right side
    184,070x = 155,538,739,456
  5. Step 5: Solve for x
    x = 155,538,739,456/184,070
  6. Step 6: Final answer
    x = 844,997.77

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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.