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Finding the Third Proportional to 184,738 and 397,971

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Solution

The third proportional to 184,738 and 397,971 is: 857,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,738 : 397,971 = 397,971 : x
  2. Step 2: Convert to fraction form
    184,738/397,971 = 397,971/x
  3. Step 3: Cross multiply
    184,738x = 397,971 × 397,971
  4. Step 4: Simplify right side
    184,738x = 158,380,916,841
  5. Step 5: Solve for x
    x = 158,380,916,841/184,738
  6. Step 6: Final answer
    x = 857,327.22

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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.