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Finding the Third Proportional to 104,446 and 220,798

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Solution

The third proportional to 104,446 and 220,798 is: 466,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,446 : 220,798 = 220,798 : x
  2. Step 2: Convert to fraction form
    104,446/220,798 = 220,798/x
  3. Step 3: Cross multiply
    104,446x = 220,798 × 220,798
  4. Step 4: Simplify right side
    104,446x = 48,751,756,804
  5. Step 5: Solve for x
    x = 48,751,756,804/104,446
  6. Step 6: Final answer
    x = 466,765.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.