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Finding the Third Proportional to 111,729.38 and 263,518.31

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Solution

The third proportional to 111,729.38 and 263,518.31 is: 621,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,729.38 : 263,518.31 = 263,518.31 : x
  2. Step 2: Convert to fraction form
    111,729.38/263,518.31 = 263,518.31/x
  3. Step 3: Cross multiply
    111,729.38x = 263,518.31 × 263,518.31
  4. Step 4: Simplify right side
    111,729.38x = 69,441,901,022.85
  5. Step 5: Solve for x
    x = 69,441,901,022.85/111,729.38
  6. Step 6: Final answer
    x = 621,518.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.