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Finding the Third Proportional to 184,619 and 276,621

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Solution

The third proportional to 184,619 and 276,621 is: 414,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,619 : 276,621 = 276,621 : x
  2. Step 2: Convert to fraction form
    184,619/276,621 = 276,621/x
  3. Step 3: Cross multiply
    184,619x = 276,621 × 276,621
  4. Step 4: Simplify right side
    184,619x = 76,519,177,641
  5. Step 5: Solve for x
    x = 76,519,177,641/184,619
  6. Step 6: Final answer
    x = 414,470.76

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