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Finding the Third Proportional to 182,187 and 400,244

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Solution

The third proportional to 182,187 and 400,244 is: 879,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,187 : 400,244 = 400,244 : x
  2. Step 2: Convert to fraction form
    182,187/400,244 = 400,244/x
  3. Step 3: Cross multiply
    182,187x = 400,244 × 400,244
  4. Step 4: Simplify right side
    182,187x = 160,195,259,536
  5. Step 5: Solve for x
    x = 160,195,259,536/182,187
  6. Step 6: Final answer
    x = 879,290.29

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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.