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Finding the Third Proportional to 184,727 and 397,941

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Solution

The third proportional to 184,727 and 397,941 is: 857,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,727 : 397,941 = 397,941 : x
  2. Step 2: Convert to fraction form
    184,727/397,941 = 397,941/x
  3. Step 3: Cross multiply
    184,727x = 397,941 × 397,941
  4. Step 4: Simplify right side
    184,727x = 158,357,039,481
  5. Step 5: Solve for x
    x = 158,357,039,481/184,727
  6. Step 6: Final answer
    x = 857,249.02

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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.