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Finding the Third Proportional to 184,884 and 274,608

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Solution

The third proportional to 184,884 and 274,608 is: 407,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,884 : 274,608 = 274,608 : x
  2. Step 2: Convert to fraction form
    184,884/274,608 = 274,608/x
  3. Step 3: Cross multiply
    184,884x = 274,608 × 274,608
  4. Step 4: Simplify right side
    184,884x = 75,409,553,664
  5. Step 5: Solve for x
    x = 75,409,553,664/184,884
  6. Step 6: Final answer
    x = 407,874.96

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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.