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Finding the Third Proportional to 184,059 and 397,116

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Solution

The third proportional to 184,059 and 397,116 is: 856,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,059 : 397,116 = 397,116 : x
  2. Step 2: Convert to fraction form
    184,059/397,116 = 397,116/x
  3. Step 3: Cross multiply
    184,059x = 397,116 × 397,116
  4. Step 4: Simplify right side
    184,059x = 157,701,117,456
  5. Step 5: Solve for x
    x = 157,701,117,456/184,059
  6. Step 6: Final answer
    x = 856,796.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.