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Finding the Third Proportional to 184,743 and 398,314

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Solution

The third proportional to 184,743 and 398,314 is: 858,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,743 : 398,314 = 398,314 : x
  2. Step 2: Convert to fraction form
    184,743/398,314 = 398,314/x
  3. Step 3: Cross multiply
    184,743x = 398,314 × 398,314
  4. Step 4: Simplify right side
    184,743x = 158,654,042,596
  5. Step 5: Solve for x
    x = 158,654,042,596/184,743
  6. Step 6: Final answer
    x = 858,782.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.