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Finding the Third Proportional to 115,933.25 and 184,418.75

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Solution

The third proportional to 115,933.25 and 184,418.75 is: 293,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,933.25 : 184,418.75 = 184,418.75 : x
  2. Step 2: Convert to fraction form
    115,933.25/184,418.75 = 184,418.75/x
  3. Step 3: Cross multiply
    115,933.25x = 184,418.75 × 184,418.75
  4. Step 4: Simplify right side
    115,933.25x = 34,010,275,351.56
  5. Step 5: Solve for x
    x = 34,010,275,351.56/115,933.25
  6. Step 6: Final answer
    x = 293,360.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.