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Finding the Third Proportional to 192,204 and 420,614

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Solution

The third proportional to 192,204 and 420,614 is: 920,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,204 : 420,614 = 420,614 : x
  2. Step 2: Convert to fraction form
    192,204/420,614 = 420,614/x
  3. Step 3: Cross multiply
    192,204x = 420,614 × 420,614
  4. Step 4: Simplify right side
    192,204x = 176,916,136,996
  5. Step 5: Solve for x
    x = 176,916,136,996/192,204
  6. Step 6: Final answer
    x = 920,460.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.