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Finding the Third Proportional to 250,573.82 and 276,177.09

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Solution

The third proportional to 250,573.82 and 276,177.09 is: 304,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,573.82 : 276,177.09 = 276,177.09 : x
  2. Step 2: Convert to fraction form
    250,573.82/276,177.09 = 276,177.09/x
  3. Step 3: Cross multiply
    250,573.82x = 276,177.09 × 276,177.09
  4. Step 4: Simplify right side
    250,573.82x = 76,273,787,112.20
  5. Step 5: Solve for x
    x = 76,273,787,112.20/250,573.82
  6. Step 6: Final answer
    x = 304,396.48

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.