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Finding the Third Proportional to 192,523 and 299,257

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Solution

The third proportional to 192,523 and 299,257 is: 465,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,523 : 299,257 = 299,257 : x
  2. Step 2: Convert to fraction form
    192,523/299,257 = 299,257/x
  3. Step 3: Cross multiply
    192,523x = 299,257 × 299,257
  4. Step 4: Simplify right side
    192,523x = 89,554,752,049
  5. Step 5: Solve for x
    x = 89,554,752,049/192,523
  6. Step 6: Final answer
    x = 465,163.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.