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Finding the Third Proportional to 195,989 and 276,004

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Solution

The third proportional to 195,989 and 276,004 is: 388,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,989 : 276,004 = 276,004 : x
  2. Step 2: Convert to fraction form
    195,989/276,004 = 276,004/x
  3. Step 3: Cross multiply
    195,989x = 276,004 × 276,004
  4. Step 4: Simplify right side
    195,989x = 76,178,208,016
  5. Step 5: Solve for x
    x = 76,178,208,016/195,989
  6. Step 6: Final answer
    x = 388,686.14

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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.