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Finding the Third Proportional to 192,518 and 299,249

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Solution

The third proportional to 192,518 and 299,249 is: 465,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,518 : 299,249 = 299,249 : x
  2. Step 2: Convert to fraction form
    192,518/299,249 = 299,249/x
  3. Step 3: Cross multiply
    192,518x = 299,249 × 299,249
  4. Step 4: Simplify right side
    192,518x = 89,549,964,001
  5. Step 5: Solve for x
    x = 89,549,964,001/192,518
  6. Step 6: Final answer
    x = 465,151.12

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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.