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Finding the Third Proportional to 168,686 and 261,093

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Solution

The third proportional to 168,686 and 261,093 is: 404,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,686 : 261,093 = 261,093 : x
  2. Step 2: Convert to fraction form
    168,686/261,093 = 261,093/x
  3. Step 3: Cross multiply
    168,686x = 261,093 × 261,093
  4. Step 4: Simplify right side
    168,686x = 68,169,554,649
  5. Step 5: Solve for x
    x = 68,169,554,649/168,686
  6. Step 6: Final answer
    x = 404,121.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.