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Finding the Third Proportional to 150,725 and 204,689

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Solution

The third proportional to 150,725 and 204,689 is: 277,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,725 : 204,689 = 204,689 : x
  2. Step 2: Convert to fraction form
    150,725/204,689 = 204,689/x
  3. Step 3: Cross multiply
    150,725x = 204,689 × 204,689
  4. Step 4: Simplify right side
    150,725x = 41,897,586,721
  5. Step 5: Solve for x
    x = 41,897,586,721/150,725
  6. Step 6: Final answer
    x = 277,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.