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Finding the Third Proportional to 100,297 and 220,274

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Solution

The third proportional to 100,297 and 220,274 is: 483,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297 : 220,274 = 220,274 : x
  2. Step 2: Convert to fraction form
    100,297/220,274 = 220,274/x
  3. Step 3: Cross multiply
    100,297x = 220,274 × 220,274
  4. Step 4: Simplify right side
    100,297x = 48,520,635,076
  5. Step 5: Solve for x
    x = 48,520,635,076/100,297
  6. Step 6: Final answer
    x = 483,769.56

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