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Finding the Third Proportional to 268,089.75 and 558,231.75

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Solution

The third proportional to 268,089.75 and 558,231.75 is: 1,162,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,089.75 : 558,231.75 = 558,231.75 : x
  2. Step 2: Convert to fraction form
    268,089.75/558,231.75 = 558,231.75/x
  3. Step 3: Cross multiply
    268,089.75x = 558,231.75 × 558,231.75
  4. Step 4: Simplify right side
    268,089.75x = 311,622,686,708.06
  5. Step 5: Solve for x
    x = 311,622,686,708.06/268,089.75
  6. Step 6: Final answer
    x = 1,162,381.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.