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Finding the Third Proportional to 184,205 and 276,992

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Solution

The third proportional to 184,205 and 276,992 is: 416,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,205 : 276,992 = 276,992 : x
  2. Step 2: Convert to fraction form
    184,205/276,992 = 276,992/x
  3. Step 3: Cross multiply
    184,205x = 276,992 × 276,992
  4. Step 4: Simplify right side
    184,205x = 76,724,568,064
  5. Step 5: Solve for x
    x = 76,724,568,064/184,205
  6. Step 6: Final answer
    x = 416,517.29

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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.