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Finding the Third Proportional to 131,568 and 276,890

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Solution

The third proportional to 131,568 and 276,890 is: 582,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,568 : 276,890 = 276,890 : x
  2. Step 2: Convert to fraction form
    131,568/276,890 = 276,890/x
  3. Step 3: Cross multiply
    131,568x = 276,890 × 276,890
  4. Step 4: Simplify right side
    131,568x = 76,668,072,100
  5. Step 5: Solve for x
    x = 76,668,072,100/131,568
  6. Step 6: Final answer
    x = 582,725.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.