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Finding the Third Proportional to 85,449.75 and 184,047.25

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Solution

The third proportional to 85,449.75 and 184,047.25 is: 396,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,449.75 : 184,047.25 = 184,047.25 : x
  2. Step 2: Convert to fraction form
    85,449.75/184,047.25 = 184,047.25/x
  3. Step 3: Cross multiply
    85,449.75x = 184,047.25 × 184,047.25
  4. Step 4: Simplify right side
    85,449.75x = 33,873,390,232.56
  5. Step 5: Solve for x
    x = 33,873,390,232.56/85,449.75
  6. Step 6: Final answer
    x = 396,412.98

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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.