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Finding the Third Proportional to 165,753 and 361,868

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Solution

The third proportional to 165,753 and 361,868 is: 790,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,753 : 361,868 = 361,868 : x
  2. Step 2: Convert to fraction form
    165,753/361,868 = 361,868/x
  3. Step 3: Cross multiply
    165,753x = 361,868 × 361,868
  4. Step 4: Simplify right side
    165,753x = 130,948,449,424
  5. Step 5: Solve for x
    x = 130,948,449,424/165,753
  6. Step 6: Final answer
    x = 790,021.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.