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Finding the Third Proportional to 192,496 and 299,216

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Solution

The third proportional to 192,496 and 299,216 is: 465,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,496 : 299,216 = 299,216 : x
  2. Step 2: Convert to fraction form
    192,496/299,216 = 299,216/x
  3. Step 3: Cross multiply
    192,496x = 299,216 × 299,216
  4. Step 4: Simplify right side
    192,496x = 89,530,214,656
  5. Step 5: Solve for x
    x = 89,530,214,656/192,496
  6. Step 6: Final answer
    x = 465,101.69

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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.