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Finding the Third Proportional to 184,728.75 and 397,083.75

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Solution

The third proportional to 184,728.75 and 397,083.75 is: 853,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,728.75 : 397,083.75 = 397,083.75 : x
  2. Step 2: Convert to fraction form
    184,728.75/397,083.75 = 397,083.75/x
  3. Step 3: Cross multiply
    184,728.75x = 397,083.75 × 397,083.75
  4. Step 4: Simplify right side
    184,728.75x = 157,675,504,514.06
  5. Step 5: Solve for x
    x = 157,675,504,514.06/184,728.75
  6. Step 6: Final answer
    x = 853,551.52

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