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Finding the Third Proportional to 122,314 and 184,703

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Solution

The third proportional to 122,314 and 184,703 is: 278,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,314 : 184,703 = 184,703 : x
  2. Step 2: Convert to fraction form
    122,314/184,703 = 184,703/x
  3. Step 3: Cross multiply
    122,314x = 184,703 × 184,703
  4. Step 4: Simplify right side
    122,314x = 34,115,198,209
  5. Step 5: Solve for x
    x = 34,115,198,209/122,314
  6. Step 6: Final answer
    x = 278,914.91

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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.