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Finding the Third Proportional to 192,396 and 262,098

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Solution

The third proportional to 192,396 and 262,098 is: 357,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,396 : 262,098 = 262,098 : x
  2. Step 2: Convert to fraction form
    192,396/262,098 = 262,098/x
  3. Step 3: Cross multiply
    192,396x = 262,098 × 262,098
  4. Step 4: Simplify right side
    192,396x = 68,695,361,604
  5. Step 5: Solve for x
    x = 68,695,361,604/192,396
  6. Step 6: Final answer
    x = 357,051.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.