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Finding the Third Proportional to 104,442 and 220,790

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Solution

The third proportional to 104,442 and 220,790 is: 466,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,442 : 220,790 = 220,790 : x
  2. Step 2: Convert to fraction form
    104,442/220,790 = 220,790/x
  3. Step 3: Cross multiply
    104,442x = 220,790 × 220,790
  4. Step 4: Simplify right side
    104,442x = 48,748,224,100
  5. Step 5: Solve for x
    x = 48,748,224,100/104,442
  6. Step 6: Final answer
    x = 466,749.24

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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.