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Finding the Third Proportional to 161,055 and 363,867

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Solution

The third proportional to 161,055 and 363,867 is: 822,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,055 : 363,867 = 363,867 : x
  2. Step 2: Convert to fraction form
    161,055/363,867 = 363,867/x
  3. Step 3: Cross multiply
    161,055x = 363,867 × 363,867
  4. Step 4: Simplify right side
    161,055x = 132,399,193,689
  5. Step 5: Solve for x
    x = 132,399,193,689/161,055
  6. Step 6: Final answer
    x = 822,074.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.