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Finding the Third Proportional to 206,222 and 452,296

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Solution

The third proportional to 206,222 and 452,296 is: 991,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,222 : 452,296 = 452,296 : x
  2. Step 2: Convert to fraction form
    206,222/452,296 = 452,296/x
  3. Step 3: Cross multiply
    206,222x = 452,296 × 452,296
  4. Step 4: Simplify right side
    206,222x = 204,571,671,616
  5. Step 5: Solve for x
    x = 204,571,671,616/206,222
  6. Step 6: Final answer
    x = 991,997.32

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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.