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Finding the Third Proportional to 184,092 and 397,179

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Solution

The third proportional to 184,092 and 397,179 is: 856,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,092 : 397,179 = 397,179 : x
  2. Step 2: Convert to fraction form
    184,092/397,179 = 397,179/x
  3. Step 3: Cross multiply
    184,092x = 397,179 × 397,179
  4. Step 4: Simplify right side
    184,092x = 157,751,158,041
  5. Step 5: Solve for x
    x = 157,751,158,041/184,092
  6. Step 6: Final answer
    x = 856,914.79

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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.