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Finding the Third Proportional to 192,202 and 412,821

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Solution

The third proportional to 192,202 and 412,821 is: 886,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,202 : 412,821 = 412,821 : x
  2. Step 2: Convert to fraction form
    192,202/412,821 = 412,821/x
  3. Step 3: Cross multiply
    192,202x = 412,821 × 412,821
  4. Step 4: Simplify right side
    192,202x = 170,421,178,041
  5. Step 5: Solve for x
    x = 170,421,178,041/192,202
  6. Step 6: Final answer
    x = 886,677.44

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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.