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Finding the Third Proportional to 177,349 and 389,189

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Solution

The third proportional to 177,349 and 389,189 is: 854,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,349 : 389,189 = 389,189 : x
  2. Step 2: Convert to fraction form
    177,349/389,189 = 389,189/x
  3. Step 3: Cross multiply
    177,349x = 389,189 × 389,189
  4. Step 4: Simplify right side
    177,349x = 151,468,077,721
  5. Step 5: Solve for x
    x = 151,468,077,721/177,349
  6. Step 6: Final answer
    x = 854,067.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.