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Finding the Third Proportional to 192,642.75 and 276,570

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Solution

The third proportional to 192,642.75 and 276,570 is: 397,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.75 : 276,570 = 276,570 : x
  2. Step 2: Convert to fraction form
    192,642.75/276,570 = 276,570/x
  3. Step 3: Cross multiply
    192,642.75x = 276,570 × 276,570
  4. Step 4: Simplify right side
    192,642.75x = 76,490,964,900
  5. Step 5: Solve for x
    x = 76,490,964,900/192,642.75
  6. Step 6: Final answer
    x = 397,061.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.