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Finding the Third Proportional to 192,676 and 414,026

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Solution

The third proportional to 192,676 and 414,026 is: 889,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,676 : 414,026 = 414,026 : x
  2. Step 2: Convert to fraction form
    192,676/414,026 = 414,026/x
  3. Step 3: Cross multiply
    192,676x = 414,026 × 414,026
  4. Step 4: Simplify right side
    192,676x = 171,417,528,676
  5. Step 5: Solve for x
    x = 171,417,528,676/192,676
  6. Step 6: Final answer
    x = 889,667.26

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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.