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Finding the Third Proportional to 131,569 and 276,891

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Solution

The third proportional to 131,569 and 276,891 is: 582,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569 : 276,891 = 276,891 : x
  2. Step 2: Convert to fraction form
    131,569/276,891 = 276,891/x
  3. Step 3: Cross multiply
    131,569x = 276,891 × 276,891
  4. Step 4: Simplify right side
    131,569x = 76,668,625,881
  5. Step 5: Solve for x
    x = 76,668,625,881/131,569
  6. Step 6: Final answer
    x = 582,725.61

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Why These Related Problems?

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