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Finding the Third Proportional to 184,736 and 397,967

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Solution

The third proportional to 184,736 and 397,967 is: 857,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,736 : 397,967 = 397,967 : x
  2. Step 2: Convert to fraction form
    184,736/397,967 = 397,967/x
  3. Step 3: Cross multiply
    184,736x = 397,967 × 397,967
  4. Step 4: Simplify right side
    184,736x = 158,377,733,089
  5. Step 5: Solve for x
    x = 158,377,733,089/184,736
  6. Step 6: Final answer
    x = 857,319.27

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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.