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Finding the Third Proportional to 165,992 and 355,651

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Solution

The third proportional to 165,992 and 355,651 is: 762,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,992 : 355,651 = 355,651 : x
  2. Step 2: Convert to fraction form
    165,992/355,651 = 355,651/x
  3. Step 3: Cross multiply
    165,992x = 355,651 × 355,651
  4. Step 4: Simplify right side
    165,992x = 126,487,633,801
  5. Step 5: Solve for x
    x = 126,487,633,801/165,992
  6. Step 6: Final answer
    x = 762,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.