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Finding the Third Proportional to 184,204 and 276,991

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Solution

The third proportional to 184,204 and 276,991 is: 416,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,204 : 276,991 = 276,991 : x
  2. Step 2: Convert to fraction form
    184,204/276,991 = 276,991/x
  3. Step 3: Cross multiply
    184,204x = 276,991 × 276,991
  4. Step 4: Simplify right side
    184,204x = 76,724,014,081
  5. Step 5: Solve for x
    x = 76,724,014,081/184,204
  6. Step 6: Final answer
    x = 416,516.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.