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Finding the Third Proportional to 220,977 and 340,092

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Solution

The third proportional to 220,977 and 340,092 is: 523,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,977 : 340,092 = 340,092 : x
  2. Step 2: Convert to fraction form
    220,977/340,092 = 340,092/x
  3. Step 3: Cross multiply
    220,977x = 340,092 × 340,092
  4. Step 4: Simplify right side
    220,977x = 115,662,568,464
  5. Step 5: Solve for x
    x = 115,662,568,464/220,977
  6. Step 6: Final answer
    x = 523,414.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.