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Finding the Third Proportional to 101,962 and 220,324

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Solution

The third proportional to 101,962 and 220,324 is: 476,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962 : 220,324 = 220,324 : x
  2. Step 2: Convert to fraction form
    101,962/220,324 = 220,324/x
  3. Step 3: Cross multiply
    101,962x = 220,324 × 220,324
  4. Step 4: Simplify right side
    101,962x = 48,542,664,976
  5. Step 5: Solve for x
    x = 48,542,664,976/101,962
  6. Step 6: Final answer
    x = 476,085.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.