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Finding the Third Proportional to 184,238 and 396,664

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Solution

The third proportional to 184,238 and 396,664 is: 854,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,238 : 396,664 = 396,664 : x
  2. Step 2: Convert to fraction form
    184,238/396,664 = 396,664/x
  3. Step 3: Cross multiply
    184,238x = 396,664 × 396,664
  4. Step 4: Simplify right side
    184,238x = 157,342,328,896
  5. Step 5: Solve for x
    x = 157,342,328,896/184,238
  6. Step 6: Final answer
    x = 854,016.70

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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.