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Finding the Third Proportional to 89,953 and 208,267

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Solution

The third proportional to 89,953 and 208,267 is: 482,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,953 : 208,267 = 208,267 : x
  2. Step 2: Convert to fraction form
    89,953/208,267 = 208,267/x
  3. Step 3: Cross multiply
    89,953x = 208,267 × 208,267
  4. Step 4: Simplify right side
    89,953x = 43,375,143,289
  5. Step 5: Solve for x
    x = 43,375,143,289/89,953
  6. Step 6: Final answer
    x = 482,197.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.