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Finding the Third Proportional to 182,170 and 254,744

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Solution

The third proportional to 182,170 and 254,744 is: 356,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,170 : 254,744 = 254,744 : x
  2. Step 2: Convert to fraction form
    182,170/254,744 = 254,744/x
  3. Step 3: Cross multiply
    182,170x = 254,744 × 254,744
  4. Step 4: Simplify right side
    182,170x = 64,894,505,536
  5. Step 5: Solve for x
    x = 64,894,505,536/182,170
  6. Step 6: Final answer
    x = 356,230.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.