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Finding the Third Proportional to 184,019 and 276,950

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Solution

The third proportional to 184,019 and 276,950 is: 416,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,019 : 276,950 = 276,950 : x
  2. Step 2: Convert to fraction form
    184,019/276,950 = 276,950/x
  3. Step 3: Cross multiply
    184,019x = 276,950 × 276,950
  4. Step 4: Simplify right side
    184,019x = 76,701,302,500
  5. Step 5: Solve for x
    x = 76,701,302,500/184,019
  6. Step 6: Final answer
    x = 416,811.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.