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Finding the Third Proportional to 184,864.50 and 397,749.75

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Solution

The third proportional to 184,864.50 and 397,749.75 is: 855,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,864.50 : 397,749.75 = 397,749.75 : x
  2. Step 2: Convert to fraction form
    184,864.50/397,749.75 = 397,749.75/x
  3. Step 3: Cross multiply
    184,864.50x = 397,749.75 × 397,749.75
  4. Step 4: Simplify right side
    184,864.50x = 158,204,863,625.06
  5. Step 5: Solve for x
    x = 158,204,863,625.06/184,864.50
  6. Step 6: Final answer
    x = 855,788.23

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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.