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Finding the Third Proportional to 76,317.75 and 166,194.75

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Solution

The third proportional to 76,317.75 and 166,194.75 is: 361,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,317.75 : 166,194.75 = 166,194.75 : x
  2. Step 2: Convert to fraction form
    76,317.75/166,194.75 = 166,194.75/x
  3. Step 3: Cross multiply
    76,317.75x = 166,194.75 × 166,194.75
  4. Step 4: Simplify right side
    76,317.75x = 27,620,694,927.56
  5. Step 5: Solve for x
    x = 27,620,694,927.56/76,317.75
  6. Step 6: Final answer
    x = 361,917.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.