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Finding the Third Proportional to 195,668 and 279,058

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Solution

The third proportional to 195,668 and 279,058 is: 397,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,668 : 279,058 = 279,058 : x
  2. Step 2: Convert to fraction form
    195,668/279,058 = 279,058/x
  3. Step 3: Cross multiply
    195,668x = 279,058 × 279,058
  4. Step 4: Simplify right side
    195,668x = 77,873,367,364
  5. Step 5: Solve for x
    x = 77,873,367,364/195,668
  6. Step 6: Final answer
    x = 397,987.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.