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Finding the Third Proportional to 111,269.25 and 211,326.75

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Solution

The third proportional to 111,269.25 and 211,326.75 is: 401,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,269.25 : 211,326.75 = 211,326.75 : x
  2. Step 2: Convert to fraction form
    111,269.25/211,326.75 = 211,326.75/x
  3. Step 3: Cross multiply
    111,269.25x = 211,326.75 × 211,326.75
  4. Step 4: Simplify right side
    111,269.25x = 44,658,995,265.56
  5. Step 5: Solve for x
    x = 44,658,995,265.56/111,269.25
  6. Step 6: Final answer
    x = 401,359.72

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.