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Finding the Third Proportional to 165,849 and 353,379

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Solution

The third proportional to 165,849 and 353,379 is: 752,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,849 : 353,379 = 353,379 : x
  2. Step 2: Convert to fraction form
    165,849/353,379 = 353,379/x
  3. Step 3: Cross multiply
    165,849x = 353,379 × 353,379
  4. Step 4: Simplify right side
    165,849x = 124,876,717,641
  5. Step 5: Solve for x
    x = 124,876,717,641/165,849
  6. Step 6: Final answer
    x = 752,954.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.