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Finding the Third Proportional to 241,872.75 and 378,015.75

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Solution

The third proportional to 241,872.75 and 378,015.75 is: 590,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,872.75 : 378,015.75 = 378,015.75 : x
  2. Step 2: Convert to fraction form
    241,872.75/378,015.75 = 378,015.75/x
  3. Step 3: Cross multiply
    241,872.75x = 378,015.75 × 378,015.75
  4. Step 4: Simplify right side
    241,872.75x = 142,895,907,248.06
  5. Step 5: Solve for x
    x = 142,895,907,248.06/241,872.75
  6. Step 6: Final answer
    x = 590,789.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.