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Finding the Third Proportional to 187,269 and 273,891

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Solution

The third proportional to 187,269 and 273,891 is: 400,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,269 : 273,891 = 273,891 : x
  2. Step 2: Convert to fraction form
    187,269/273,891 = 273,891/x
  3. Step 3: Cross multiply
    187,269x = 273,891 × 273,891
  4. Step 4: Simplify right side
    187,269x = 75,016,279,881
  5. Step 5: Solve for x
    x = 75,016,279,881/187,269
  6. Step 6: Final answer
    x = 400,580.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.