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Finding the Third Proportional to 206,268 and 436,940

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Solution

The third proportional to 206,268 and 436,940 is: 925,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,268 : 436,940 = 436,940 : x
  2. Step 2: Convert to fraction form
    206,268/436,940 = 436,940/x
  3. Step 3: Cross multiply
    206,268x = 436,940 × 436,940
  4. Step 4: Simplify right side
    206,268x = 190,916,563,600
  5. Step 5: Solve for x
    x = 190,916,563,600/206,268
  6. Step 6: Final answer
    x = 925,575.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.