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Finding the Third Proportional to 241,742.50 and 339,825.75

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Solution

The third proportional to 241,742.50 and 339,825.75 is: 477,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,742.50 : 339,825.75 = 339,825.75 : x
  2. Step 2: Convert to fraction form
    241,742.50/339,825.75 = 339,825.75/x
  3. Step 3: Cross multiply
    241,742.50x = 339,825.75 × 339,825.75
  4. Step 4: Simplify right side
    241,742.50x = 115,481,540,363.06
  5. Step 5: Solve for x
    x = 115,481,540,363.06/241,742.50
  6. Step 6: Final answer
    x = 477,704.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.