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Finding the Third Proportional to 184,236 and 396,660

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Solution

The third proportional to 184,236 and 396,660 is: 854,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,236 : 396,660 = 396,660 : x
  2. Step 2: Convert to fraction form
    184,236/396,660 = 396,660/x
  3. Step 3: Cross multiply
    184,236x = 396,660 × 396,660
  4. Step 4: Simplify right side
    184,236x = 157,339,155,600
  5. Step 5: Solve for x
    x = 157,339,155,600/184,236
  6. Step 6: Final answer
    x = 854,008.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.