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Finding the Third Proportional to 184,863.94 and 397,748.81

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Solution

The third proportional to 184,863.94 and 397,748.81 is: 855,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863.94 : 397,748.81 = 397,748.81 : x
  2. Step 2: Convert to fraction form
    184,863.94/397,748.81 = 397,748.81/x
  3. Step 3: Cross multiply
    184,863.94x = 397,748.81 × 397,748.81
  4. Step 4: Simplify right side
    184,863.94x = 158,204,117,845.16
  5. Step 5: Solve for x
    x = 158,204,117,845.16/184,863.94
  6. Step 6: Final answer
    x = 855,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.