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Finding the Third Proportional to 192,981 and 275,710

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Solution

The third proportional to 192,981 and 275,710 is: 393,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,981 : 275,710 = 275,710 : x
  2. Step 2: Convert to fraction form
    192,981/275,710 = 275,710/x
  3. Step 3: Cross multiply
    192,981x = 275,710 × 275,710
  4. Step 4: Simplify right side
    192,981x = 76,016,004,100
  5. Step 5: Solve for x
    x = 76,016,004,100/192,981
  6. Step 6: Final answer
    x = 393,904.08

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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.