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Finding the Third Proportional to 102,544 and 225,250

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Solution

The third proportional to 102,544 and 225,250 is: 494,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544 : 225,250 = 225,250 : x
  2. Step 2: Convert to fraction form
    102,544/225,250 = 225,250/x
  3. Step 3: Cross multiply
    102,544x = 225,250 × 225,250
  4. Step 4: Simplify right side
    102,544x = 50,737,562,500
  5. Step 5: Solve for x
    x = 50,737,562,500/102,544
  6. Step 6: Final answer
    x = 494,788.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.