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Finding the Third Proportional to 111,561 and 245,266

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Solution

The third proportional to 111,561 and 245,266 is: 539,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,561 : 245,266 = 245,266 : x
  2. Step 2: Convert to fraction form
    111,561/245,266 = 245,266/x
  3. Step 3: Cross multiply
    111,561x = 245,266 × 245,266
  4. Step 4: Simplify right side
    111,561x = 60,155,410,756
  5. Step 5: Solve for x
    x = 60,155,410,756/111,561
  6. Step 6: Final answer
    x = 539,215.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.