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Finding the Third Proportional to 192,269 and 414,122

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Solution

The third proportional to 192,269 and 414,122 is: 891,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,269 : 414,122 = 414,122 : x
  2. Step 2: Convert to fraction form
    192,269/414,122 = 414,122/x
  3. Step 3: Cross multiply
    192,269x = 414,122 × 414,122
  4. Step 4: Simplify right side
    192,269x = 171,497,030,884
  5. Step 5: Solve for x
    x = 171,497,030,884/192,269
  6. Step 6: Final answer
    x = 891,964.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.