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Finding the Third Proportional to 184,867 and 397,754

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Solution

The third proportional to 184,867 and 397,754 is: 855,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,867 : 397,754 = 397,754 : x
  2. Step 2: Convert to fraction form
    184,867/397,754 = 397,754/x
  3. Step 3: Cross multiply
    184,867x = 397,754 × 397,754
  4. Step 4: Simplify right side
    184,867x = 158,208,244,516
  5. Step 5: Solve for x
    x = 158,208,244,516/184,867
  6. Step 6: Final answer
    x = 855,794.95

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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.