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Finding the Third Proportional to 182,194 and 400,256

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Solution

The third proportional to 182,194 and 400,256 is: 879,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,194 : 400,256 = 400,256 : x
  2. Step 2: Convert to fraction form
    182,194/400,256 = 400,256/x
  3. Step 3: Cross multiply
    182,194x = 400,256 × 400,256
  4. Step 4: Simplify right side
    182,194x = 160,204,865,536
  5. Step 5: Solve for x
    x = 160,204,865,536/182,194
  6. Step 6: Final answer
    x = 879,309.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.