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Finding the Third Proportional to 184,856 and 276,052

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Solution

The third proportional to 184,856 and 276,052 is: 412,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,856 : 276,052 = 276,052 : x
  2. Step 2: Convert to fraction form
    184,856/276,052 = 276,052/x
  3. Step 3: Cross multiply
    184,856x = 276,052 × 276,052
  4. Step 4: Simplify right side
    184,856x = 76,204,706,704
  5. Step 5: Solve for x
    x = 76,204,706,704/184,856
  6. Step 6: Final answer
    x = 412,238.21

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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.