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Finding the Third Proportional to 184,678 and 397,850

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Solution

The third proportional to 184,678 and 397,850 is: 857,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,678 : 397,850 = 397,850 : x
  2. Step 2: Convert to fraction form
    184,678/397,850 = 397,850/x
  3. Step 3: Cross multiply
    184,678x = 397,850 × 397,850
  4. Step 4: Simplify right side
    184,678x = 158,284,622,500
  5. Step 5: Solve for x
    x = 158,284,622,500/184,678
  6. Step 6: Final answer
    x = 857,084.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.