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Finding the Third Proportional to 184,854 and 276,049

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Solution

The third proportional to 184,854 and 276,049 is: 412,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854 : 276,049 = 276,049 : x
  2. Step 2: Convert to fraction form
    184,854/276,049 = 276,049/x
  3. Step 3: Cross multiply
    184,854x = 276,049 × 276,049
  4. Step 4: Simplify right side
    184,854x = 76,203,050,401
  5. Step 5: Solve for x
    x = 76,203,050,401/184,854
  6. Step 6: Final answer
    x = 412,233.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.