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Finding the Third Proportional to 240,617.25 and 336,408.75

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Solution

The third proportional to 240,617.25 and 336,408.75 is: 470,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,617.25 : 336,408.75 = 336,408.75 : x
  2. Step 2: Convert to fraction form
    240,617.25/336,408.75 = 336,408.75/x
  3. Step 3: Cross multiply
    240,617.25x = 336,408.75 × 336,408.75
  4. Step 4: Simplify right side
    240,617.25x = 113,170,847,076.56
  5. Step 5: Solve for x
    x = 113,170,847,076.56/240,617.25
  6. Step 6: Final answer
    x = 470,335.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.