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Finding the Third Proportional to 206,469 and 305,865

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Solution

The third proportional to 206,469 and 305,865 is: 453,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469 : 305,865 = 305,865 : x
  2. Step 2: Convert to fraction form
    206,469/305,865 = 305,865/x
  3. Step 3: Cross multiply
    206,469x = 305,865 × 305,865
  4. Step 4: Simplify right side
    206,469x = 93,553,398,225
  5. Step 5: Solve for x
    x = 93,553,398,225/206,469
  6. Step 6: Final answer
    x = 453,111.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.