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Finding the Third Proportional to 206,880 and 295,294

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Solution

The third proportional to 206,880 and 295,294 is: 421,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,880 : 295,294 = 295,294 : x
  2. Step 2: Convert to fraction form
    206,880/295,294 = 295,294/x
  3. Step 3: Cross multiply
    206,880x = 295,294 × 295,294
  4. Step 4: Simplify right side
    206,880x = 87,198,546,436
  5. Step 5: Solve for x
    x = 87,198,546,436/206,880
  6. Step 6: Final answer
    x = 421,493.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.