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Finding the Third Proportional to 184,334 and 276,645

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Solution

The third proportional to 184,334 and 276,645 is: 415,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,334 : 276,645 = 276,645 : x
  2. Step 2: Convert to fraction form
    184,334/276,645 = 276,645/x
  3. Step 3: Cross multiply
    184,334x = 276,645 × 276,645
  4. Step 4: Simplify right side
    184,334x = 76,532,456,025
  5. Step 5: Solve for x
    x = 76,532,456,025/184,334
  6. Step 6: Final answer
    x = 415,183.61

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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.