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Finding the Third Proportional to 213,761 and 300,651

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Solution

The third proportional to 213,761 and 300,651 is: 422,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761 : 300,651 = 300,651 : x
  2. Step 2: Convert to fraction form
    213,761/300,651 = 300,651/x
  3. Step 3: Cross multiply
    213,761x = 300,651 × 300,651
  4. Step 4: Simplify right side
    213,761x = 90,391,023,801
  5. Step 5: Solve for x
    x = 90,391,023,801/213,761
  6. Step 6: Final answer
    x = 422,860.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.