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Finding the Third Proportional to 184,180 and 276,954

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Solution

The third proportional to 184,180 and 276,954 is: 416,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,180 : 276,954 = 276,954 : x
  2. Step 2: Convert to fraction form
    184,180/276,954 = 276,954/x
  3. Step 3: Cross multiply
    184,180x = 276,954 × 276,954
  4. Step 4: Simplify right side
    184,180x = 76,703,518,116
  5. Step 5: Solve for x
    x = 76,703,518,116/184,180
  6. Step 6: Final answer
    x = 416,459.54

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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.