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Finding the Third Proportional to 192,678 and 414,030

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Solution

The third proportional to 192,678 and 414,030 is: 889,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,678 : 414,030 = 414,030 : x
  2. Step 2: Convert to fraction form
    192,678/414,030 = 414,030/x
  3. Step 3: Cross multiply
    192,678x = 414,030 × 414,030
  4. Step 4: Simplify right side
    192,678x = 171,420,840,900
  5. Step 5: Solve for x
    x = 171,420,840,900/192,678
  6. Step 6: Final answer
    x = 889,675.21

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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.