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Finding the Third Proportional to 67,238.44 and 146,305.69

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Solution

The third proportional to 67,238.44 and 146,305.69 is: 318,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,238.44 : 146,305.69 = 146,305.69 : x
  2. Step 2: Convert to fraction form
    67,238.44/146,305.69 = 146,305.69/x
  3. Step 3: Cross multiply
    67,238.44x = 146,305.69 × 146,305.69
  4. Step 4: Simplify right side
    67,238.44x = 21,405,354,194.85
  5. Step 5: Solve for x
    x = 21,405,354,194.85/67,238.44
  6. Step 6: Final answer
    x = 318,349.96

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