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Finding the Third Proportional to 111,616.31 and 263,432.25

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Solution

The third proportional to 111,616.31 and 263,432.25 is: 621,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,616.31 : 263,432.25 = 263,432.25 : x
  2. Step 2: Convert to fraction form
    111,616.31/263,432.25 = 263,432.25/x
  3. Step 3: Cross multiply
    111,616.31x = 263,432.25 × 263,432.25
  4. Step 4: Simplify right side
    111,616.31x = 69,396,550,340.06
  5. Step 5: Solve for x
    x = 69,396,550,340.06/111,616.31
  6. Step 6: Final answer
    x = 621,742.01

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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.