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Finding the Third Proportional to 184,284 and 396,904

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Solution

The third proportional to 184,284 and 396,904 is: 854,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284 : 396,904 = 396,904 : x
  2. Step 2: Convert to fraction form
    184,284/396,904 = 396,904/x
  3. Step 3: Cross multiply
    184,284x = 396,904 × 396,904
  4. Step 4: Simplify right side
    184,284x = 157,532,785,216
  5. Step 5: Solve for x
    x = 157,532,785,216/184,284
  6. Step 6: Final answer
    x = 854,837.02

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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.