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Finding the Third Proportional to 122,604.75 and 263,993.63

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Solution

The third proportional to 122,604.75 and 263,993.63 is: 568,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,604.75 : 263,993.63 = 263,993.63 : x
  2. Step 2: Convert to fraction form
    122,604.75/263,993.63 = 263,993.63/x
  3. Step 3: Cross multiply
    122,604.75x = 263,993.63 × 263,993.63
  4. Step 4: Simplify right side
    122,604.75x = 69,692,634,040.64
  5. Step 5: Solve for x
    x = 69,692,634,040.64/122,604.75
  6. Step 6: Final answer
    x = 568,433.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.