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Finding the Third Proportional to 133,198 and 285,349

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Solution

The third proportional to 133,198 and 285,349 is: 611,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,198 : 285,349 = 285,349 : x
  2. Step 2: Convert to fraction form
    133,198/285,349 = 285,349/x
  3. Step 3: Cross multiply
    133,198x = 285,349 × 285,349
  4. Step 4: Simplify right side
    133,198x = 81,424,051,801
  5. Step 5: Solve for x
    x = 81,424,051,801/133,198
  6. Step 6: Final answer
    x = 611,300.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.