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Finding the Third Proportional to 184,757 and 398,006

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Solution

The third proportional to 184,757 and 398,006 is: 857,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,757 : 398,006 = 398,006 : x
  2. Step 2: Convert to fraction form
    184,757/398,006 = 398,006/x
  3. Step 3: Cross multiply
    184,757x = 398,006 × 398,006
  4. Step 4: Simplify right side
    184,757x = 158,408,776,036
  5. Step 5: Solve for x
    x = 158,408,776,036/184,757
  6. Step 6: Final answer
    x = 857,389.85

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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.