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Finding the Third Proportional to 213,761 and 451,660

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Solution

The third proportional to 213,761 and 451,660 is: 954,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761 : 451,660 = 451,660 : x
  2. Step 2: Convert to fraction form
    213,761/451,660 = 451,660/x
  3. Step 3: Cross multiply
    213,761x = 451,660 × 451,660
  4. Step 4: Simplify right side
    213,761x = 203,996,755,600
  5. Step 5: Solve for x
    x = 203,996,755,600/213,761
  6. Step 6: Final answer
    x = 954,321.68

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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.