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Finding the Third Proportional to 208,167 and 491,244

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Solution

The third proportional to 208,167 and 491,244 is: 1,159,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,167 : 491,244 = 491,244 : x
  2. Step 2: Convert to fraction form
    208,167/491,244 = 491,244/x
  3. Step 3: Cross multiply
    208,167x = 491,244 × 491,244
  4. Step 4: Simplify right side
    208,167x = 241,320,667,536
  5. Step 5: Solve for x
    x = 241,320,667,536/208,167
  6. Step 6: Final answer
    x = 1,159,264.76

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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.