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Finding the Third Proportional to 113,226.75 and 231,369.75

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Solution

The third proportional to 113,226.75 and 231,369.75 is: 472,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,226.75 : 231,369.75 = 231,369.75 : x
  2. Step 2: Convert to fraction form
    113,226.75/231,369.75 = 231,369.75/x
  3. Step 3: Cross multiply
    113,226.75x = 231,369.75 × 231,369.75
  4. Step 4: Simplify right side
    113,226.75x = 53,531,961,215.06
  5. Step 5: Solve for x
    x = 53,531,961,215.06/113,226.75
  6. Step 6: Final answer
    x = 472,785.46

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.