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Finding the Third Proportional to 100,244 and 220,328

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Solution

The third proportional to 100,244 and 220,328 is: 484,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,244 : 220,328 = 220,328 : x
  2. Step 2: Convert to fraction form
    100,244/220,328 = 220,328/x
  3. Step 3: Cross multiply
    100,244x = 220,328 × 220,328
  4. Step 4: Simplify right side
    100,244x = 48,544,427,584
  5. Step 5: Solve for x
    x = 48,544,427,584/100,244
  6. Step 6: Final answer
    x = 484,262.67

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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.