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Finding the Third Proportional to 184,852 and 394,280

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Solution

The third proportional to 184,852 and 394,280 is: 840,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,852 : 394,280 = 394,280 : x
  2. Step 2: Convert to fraction form
    184,852/394,280 = 394,280/x
  3. Step 3: Cross multiply
    184,852x = 394,280 × 394,280
  4. Step 4: Simplify right side
    184,852x = 155,456,718,400
  5. Step 5: Solve for x
    x = 155,456,718,400/184,852
  6. Step 6: Final answer
    x = 840,979.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.