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Finding the Third Proportional to 206,736 and 311,310

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Solution

The third proportional to 206,736 and 311,310 is: 468,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736 : 311,310 = 311,310 : x
  2. Step 2: Convert to fraction form
    206,736/311,310 = 311,310/x
  3. Step 3: Cross multiply
    206,736x = 311,310 × 311,310
  4. Step 4: Simplify right side
    206,736x = 96,913,916,100
  5. Step 5: Solve for x
    x = 96,913,916,100/206,736
  6. Step 6: Final answer
    x = 468,781.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.