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Finding the Third Proportional to 206,093 and 434,326

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Solution

The third proportional to 206,093 and 434,326 is: 915,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093 : 434,326 = 434,326 : x
  2. Step 2: Convert to fraction form
    206,093/434,326 = 434,326/x
  3. Step 3: Cross multiply
    206,093x = 434,326 × 434,326
  4. Step 4: Simplify right side
    206,093x = 188,639,074,276
  5. Step 5: Solve for x
    x = 188,639,074,276/206,093
  6. Step 6: Final answer
    x = 915,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.