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Finding the Third Proportional to 192,983 and 275,713

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Solution

The third proportional to 192,983 and 275,713 is: 393,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,983 : 275,713 = 275,713 : x
  2. Step 2: Convert to fraction form
    192,983/275,713 = 275,713/x
  3. Step 3: Cross multiply
    192,983x = 275,713 × 275,713
  4. Step 4: Simplify right side
    192,983x = 76,017,658,369
  5. Step 5: Solve for x
    x = 76,017,658,369/192,983
  6. Step 6: Final answer
    x = 393,908.57

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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.