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Finding the Third Proportional to 122,296 and 184,676

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Solution

The third proportional to 122,296 and 184,676 is: 278,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,296 : 184,676 = 184,676 : x
  2. Step 2: Convert to fraction form
    122,296/184,676 = 184,676/x
  3. Step 3: Cross multiply
    122,296x = 184,676 × 184,676
  4. Step 4: Simplify right side
    122,296x = 34,105,224,976
  5. Step 5: Solve for x
    x = 34,105,224,976/122,296
  6. Step 6: Final answer
    x = 278,874.41

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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.