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Finding the Third Proportional to 165,067 and 343,048

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Solution

The third proportional to 165,067 and 343,048 is: 712,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067 : 343,048 = 343,048 : x
  2. Step 2: Convert to fraction form
    165,067/343,048 = 343,048/x
  3. Step 3: Cross multiply
    165,067x = 343,048 × 343,048
  4. Step 4: Simplify right side
    165,067x = 117,681,930,304
  5. Step 5: Solve for x
    x = 117,681,930,304/165,067
  6. Step 6: Final answer
    x = 712,934.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.