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Finding the Third Proportional to 206,885 and 301,336

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Solution

The third proportional to 206,885 and 301,336 is: 438,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885 : 301,336 = 301,336 : x
  2. Step 2: Convert to fraction form
    206,885/301,336 = 301,336/x
  3. Step 3: Cross multiply
    206,885x = 301,336 × 301,336
  4. Step 4: Simplify right side
    206,885x = 90,803,384,896
  5. Step 5: Solve for x
    x = 90,803,384,896/206,885
  6. Step 6: Final answer
    x = 438,907.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.