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Finding the Third Proportional to 192,111.75 and 276,706.13

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Solution

The third proportional to 192,111.75 and 276,706.13 is: 398,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,111.75 : 276,706.13 = 276,706.13 : x
  2. Step 2: Convert to fraction form
    192,111.75/276,706.13 = 276,706.13/x
  3. Step 3: Cross multiply
    192,111.75x = 276,706.13 × 276,706.13
  4. Step 4: Simplify right side
    192,111.75x = 76,566,279,612.52
  5. Step 5: Solve for x
    x = 76,566,279,612.52/192,111.75
  6. Step 6: Final answer
    x = 398,550.74

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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.