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Finding the Third Proportional to 165,760 and 361,882

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Solution

The third proportional to 165,760 and 361,882 is: 790,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,760 : 361,882 = 361,882 : x
  2. Step 2: Convert to fraction form
    165,760/361,882 = 361,882/x
  3. Step 3: Cross multiply
    165,760x = 361,882 × 361,882
  4. Step 4: Simplify right side
    165,760x = 130,958,581,924
  5. Step 5: Solve for x
    x = 130,958,581,924/165,760
  6. Step 6: Final answer
    x = 790,049.36

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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.