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Finding the Third Proportional to 184,932 and 397,956

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Solution

The third proportional to 184,932 and 397,956 is: 856,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,932 : 397,956 = 397,956 : x
  2. Step 2: Convert to fraction form
    184,932/397,956 = 397,956/x
  3. Step 3: Cross multiply
    184,932x = 397,956 × 397,956
  4. Step 4: Simplify right side
    184,932x = 158,368,977,936
  5. Step 5: Solve for x
    x = 158,368,977,936/184,932
  6. Step 6: Final answer
    x = 856,363.30

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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.