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Finding the Third Proportional to 192,792 and 296,694

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Solution

The third proportional to 192,792 and 296,694 is: 456,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,792 : 296,694 = 296,694 : x
  2. Step 2: Convert to fraction form
    192,792/296,694 = 296,694/x
  3. Step 3: Cross multiply
    192,792x = 296,694 × 296,694
  4. Step 4: Simplify right side
    192,792x = 88,027,329,636
  5. Step 5: Solve for x
    x = 88,027,329,636/192,792
  6. Step 6: Final answer
    x = 456,592.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.