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Finding the Third Proportional to 167,493 and 395,322

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Solution

The third proportional to 167,493 and 395,322 is: 933,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,493 : 395,322 = 395,322 : x
  2. Step 2: Convert to fraction form
    167,493/395,322 = 395,322/x
  3. Step 3: Cross multiply
    167,493x = 395,322 × 395,322
  4. Step 4: Simplify right side
    167,493x = 156,279,483,684
  5. Step 5: Solve for x
    x = 156,279,483,684/167,493
  6. Step 6: Final answer
    x = 933,050.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.