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Finding the Third Proportional to 206,178 and 439,356

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Solution

The third proportional to 206,178 and 439,356 is: 936,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,178 : 439,356 = 439,356 : x
  2. Step 2: Convert to fraction form
    206,178/439,356 = 439,356/x
  3. Step 3: Cross multiply
    206,178x = 439,356 × 439,356
  4. Step 4: Simplify right side
    206,178x = 193,033,694,736
  5. Step 5: Solve for x
    x = 193,033,694,736/206,178
  6. Step 6: Final answer
    x = 936,247.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.