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Finding the Third Proportional to 165,922 and 223,539

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Solution

The third proportional to 165,922 and 223,539 is: 301,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,922 : 223,539 = 223,539 : x
  2. Step 2: Convert to fraction form
    165,922/223,539 = 223,539/x
  3. Step 3: Cross multiply
    165,922x = 223,539 × 223,539
  4. Step 4: Simplify right side
    165,922x = 49,969,684,521
  5. Step 5: Solve for x
    x = 49,969,684,521/165,922
  6. Step 6: Final answer
    x = 301,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.