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Finding the Third Proportional to 195,993 and 276,010

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Solution

The third proportional to 195,993 and 276,010 is: 388,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,993 : 276,010 = 276,010 : x
  2. Step 2: Convert to fraction form
    195,993/276,010 = 276,010/x
  3. Step 3: Cross multiply
    195,993x = 276,010 × 276,010
  4. Step 4: Simplify right side
    195,993x = 76,181,520,100
  5. Step 5: Solve for x
    x = 76,181,520,100/195,993
  6. Step 6: Final answer
    x = 388,695.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.