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Finding the Third Proportional to 174,211 and 263,721

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Solution

The third proportional to 174,211 and 263,721 is: 399,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,211 : 263,721 = 263,721 : x
  2. Step 2: Convert to fraction form
    174,211/263,721 = 263,721/x
  3. Step 3: Cross multiply
    174,211x = 263,721 × 263,721
  4. Step 4: Simplify right side
    174,211x = 69,548,765,841
  5. Step 5: Solve for x
    x = 69,548,765,841/174,211
  6. Step 6: Final answer
    x = 399,221.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.