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Finding the Third Proportional to 184,168.05 and 276,937.42

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Solution

The third proportional to 184,168.05 and 276,937.42 is: 416,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,168.05 : 276,937.42 = 276,937.42 : x
  2. Step 2: Convert to fraction form
    184,168.05/276,937.42 = 276,937.42/x
  3. Step 3: Cross multiply
    184,168.05x = 276,937.42 × 276,937.42
  4. Step 4: Simplify right side
    184,168.05x = 76,694,333,471.20
  5. Step 5: Solve for x
    x = 76,694,333,471.20/184,168.05
  6. Step 6: Final answer
    x = 416,436.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.