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Finding the Third Proportional to 85,043.25 and 184,848.75

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Solution

The third proportional to 85,043.25 and 184,848.75 is: 401,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043.25 : 184,848.75 = 184,848.75 : x
  2. Step 2: Convert to fraction form
    85,043.25/184,848.75 = 184,848.75/x
  3. Step 3: Cross multiply
    85,043.25x = 184,848.75 × 184,848.75
  4. Step 4: Simplify right side
    85,043.25x = 34,169,060,376.56
  5. Step 5: Solve for x
    x = 34,169,060,376.56/85,043.25
  6. Step 6: Final answer
    x = 401,784.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.