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Finding the Third Proportional to 106,624 and 223,296

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Solution

The third proportional to 106,624 and 223,296 is: 467,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,624 : 223,296 = 223,296 : x
  2. Step 2: Convert to fraction form
    106,624/223,296 = 223,296/x
  3. Step 3: Cross multiply
    106,624x = 223,296 × 223,296
  4. Step 4: Simplify right side
    106,624x = 49,861,103,616
  5. Step 5: Solve for x
    x = 49,861,103,616/106,624
  6. Step 6: Final answer
    x = 467,634.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.