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Finding the Third Proportional to 101,734 and 220,981

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Solution

The third proportional to 101,734 and 220,981 is: 480,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,734 : 220,981 = 220,981 : x
  2. Step 2: Convert to fraction form
    101,734/220,981 = 220,981/x
  3. Step 3: Cross multiply
    101,734x = 220,981 × 220,981
  4. Step 4: Simplify right side
    101,734x = 48,832,602,361
  5. Step 5: Solve for x
    x = 48,832,602,361/101,734
  6. Step 6: Final answer
    x = 480,002.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.