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Finding the Third Proportional to 195,670 and 279,061

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Solution

The third proportional to 195,670 and 279,061 is: 397,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,670 : 279,061 = 279,061 : x
  2. Step 2: Convert to fraction form
    195,670/279,061 = 279,061/x
  3. Step 3: Cross multiply
    195,670x = 279,061 × 279,061
  4. Step 4: Simplify right side
    195,670x = 77,875,041,721
  5. Step 5: Solve for x
    x = 77,875,041,721/195,670
  6. Step 6: Final answer
    x = 397,991.73

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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.