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Finding the Third Proportional to 184,960 and 396,128

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Solution

The third proportional to 184,960 and 396,128 is: 848,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960 : 396,128 = 396,128 : x
  2. Step 2: Convert to fraction form
    184,960/396,128 = 396,128/x
  3. Step 3: Cross multiply
    184,960x = 396,128 × 396,128
  4. Step 4: Simplify right side
    184,960x = 156,917,392,384
  5. Step 5: Solve for x
    x = 156,917,392,384/184,960
  6. Step 6: Final answer
    x = 848,385.56

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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.