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Finding the Third Proportional to 214,167 and 476,204

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Solution

The third proportional to 214,167 and 476,204 is: 1,058,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,167 : 476,204 = 476,204 : x
  2. Step 2: Convert to fraction form
    214,167/476,204 = 476,204/x
  3. Step 3: Cross multiply
    214,167x = 476,204 × 476,204
  4. Step 4: Simplify right side
    214,167x = 226,770,249,616
  5. Step 5: Solve for x
    x = 226,770,249,616/214,167
  6. Step 6: Final answer
    x = 1,058,847.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.