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Finding the Third Proportional to 100,262 and 220,364

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Solution

The third proportional to 100,262 and 220,364 is: 484,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262 : 220,364 = 220,364 : x
  2. Step 2: Convert to fraction form
    100,262/220,364 = 220,364/x
  3. Step 3: Cross multiply
    100,262x = 220,364 × 220,364
  4. Step 4: Simplify right side
    100,262x = 48,560,292,496
  5. Step 5: Solve for x
    x = 48,560,292,496/100,262
  6. Step 6: Final answer
    x = 484,333.97

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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.