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Finding the Third Proportional to 100,286 and 220,253

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Solution

The third proportional to 100,286 and 220,253 is: 483,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286 : 220,253 = 220,253 : x
  2. Step 2: Convert to fraction form
    100,286/220,253 = 220,253/x
  3. Step 3: Cross multiply
    100,286x = 220,253 × 220,253
  4. Step 4: Simplify right side
    100,286x = 48,511,384,009
  5. Step 5: Solve for x
    x = 48,511,384,009/100,286
  6. Step 6: Final answer
    x = 483,730.37

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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.