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Finding the Third Proportional to 204,272 and 299,839

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Solution

The third proportional to 204,272 and 299,839 is: 440,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,272 : 299,839 = 299,839 : x
  2. Step 2: Convert to fraction form
    204,272/299,839 = 299,839/x
  3. Step 3: Cross multiply
    204,272x = 299,839 × 299,839
  4. Step 4: Simplify right side
    204,272x = 89,903,425,921
  5. Step 5: Solve for x
    x = 89,903,425,921/204,272
  6. Step 6: Final answer
    x = 440,116.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.