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Finding the Third Proportional to 85,447.50 and 184,043.25

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Solution

The third proportional to 85,447.50 and 184,043.25 is: 396,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.50 : 184,043.25 = 184,043.25 : x
  2. Step 2: Convert to fraction form
    85,447.50/184,043.25 = 184,043.25/x
  3. Step 3: Cross multiply
    85,447.50x = 184,043.25 × 184,043.25
  4. Step 4: Simplify right side
    85,447.50x = 33,871,917,870.56
  5. Step 5: Solve for x
    x = 33,871,917,870.56/85,447.50
  6. Step 6: Final answer
    x = 396,406.19

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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.