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Finding the Third Proportional to 184,896 and 398,286

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Solution

The third proportional to 184,896 and 398,286 is: 857,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,896 : 398,286 = 398,286 : x
  2. Step 2: Convert to fraction form
    184,896/398,286 = 398,286/x
  3. Step 3: Cross multiply
    184,896x = 398,286 × 398,286
  4. Step 4: Simplify right side
    184,896x = 158,631,737,796
  5. Step 5: Solve for x
    x = 158,631,737,796/184,896
  6. Step 6: Final answer
    x = 857,951.16

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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.