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Finding the Third Proportional to 106,296 and 225,552

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Solution

The third proportional to 106,296 and 225,552 is: 478,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296 : 225,552 = 225,552 : x
  2. Step 2: Convert to fraction form
    106,296/225,552 = 225,552/x
  3. Step 3: Cross multiply
    106,296x = 225,552 × 225,552
  4. Step 4: Simplify right side
    106,296x = 50,873,704,704
  5. Step 5: Solve for x
    x = 50,873,704,704/106,296
  6. Step 6: Final answer
    x = 478,604.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.