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Finding the Third Proportional to 184,274 and 387,115

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Solution

The third proportional to 184,274 and 387,115 is: 813,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,274 : 387,115 = 387,115 : x
  2. Step 2: Convert to fraction form
    184,274/387,115 = 387,115/x
  3. Step 3: Cross multiply
    184,274x = 387,115 × 387,115
  4. Step 4: Simplify right side
    184,274x = 149,858,023,225
  5. Step 5: Solve for x
    x = 149,858,023,225/184,274
  6. Step 6: Final answer
    x = 813,234.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.