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Finding the Third Proportional to 206,175 and 439,349

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Solution

The third proportional to 206,175 and 439,349 is: 936,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,175 : 439,349 = 439,349 : x
  2. Step 2: Convert to fraction form
    206,175/439,349 = 439,349/x
  3. Step 3: Cross multiply
    206,175x = 439,349 × 439,349
  4. Step 4: Simplify right side
    206,175x = 193,027,543,801
  5. Step 5: Solve for x
    x = 193,027,543,801/206,175
  6. Step 6: Final answer
    x = 936,231.57

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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.