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Finding the Third Proportional to 220,745.25 and 339,729.19

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Solution

The third proportional to 220,745.25 and 339,729.19 is: 522,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,745.25 : 339,729.19 = 339,729.19 : x
  2. Step 2: Convert to fraction form
    220,745.25/339,729.19 = 339,729.19/x
  3. Step 3: Cross multiply
    220,745.25x = 339,729.19 × 339,729.19
  4. Step 4: Simplify right side
    220,745.25x = 115,415,920,839.41
  5. Step 5: Solve for x
    x = 115,415,920,839.41/220,745.25
  6. Step 6: Final answer
    x = 522,846.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.