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Finding the Third Proportional to 184,611 and 276,609

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Solution

The third proportional to 184,611 and 276,609 is: 414,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,611 : 276,609 = 276,609 : x
  2. Step 2: Convert to fraction form
    184,611/276,609 = 276,609/x
  3. Step 3: Cross multiply
    184,611x = 276,609 × 276,609
  4. Step 4: Simplify right side
    184,611x = 76,512,538,881
  5. Step 5: Solve for x
    x = 76,512,538,881/184,611
  6. Step 6: Final answer
    x = 414,452.76

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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.