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Finding the Third Proportional to 241,845.75 and 381,327.75

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Solution

The third proportional to 241,845.75 and 381,327.75 is: 601,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,845.75 : 381,327.75 = 381,327.75 : x
  2. Step 2: Convert to fraction form
    241,845.75/381,327.75 = 381,327.75/x
  3. Step 3: Cross multiply
    241,845.75x = 381,327.75 × 381,327.75
  4. Step 4: Simplify right side
    241,845.75x = 145,410,852,920.06
  5. Step 5: Solve for x
    x = 145,410,852,920.06/241,845.75
  6. Step 6: Final answer
    x = 601,254.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.