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Finding the Third Proportional to 208,161 and 491,229

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Solution

The third proportional to 208,161 and 491,229 is: 1,159,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,161 : 491,229 = 491,229 : x
  2. Step 2: Convert to fraction form
    208,161/491,229 = 491,229/x
  3. Step 3: Cross multiply
    208,161x = 491,229 × 491,229
  4. Step 4: Simplify right side
    208,161x = 241,305,930,441
  5. Step 5: Solve for x
    x = 241,305,930,441/208,161
  6. Step 6: Final answer
    x = 1,159,227.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.