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Finding the Third Proportional to 198,591 and 277,797

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Solution

The third proportional to 198,591 and 277,797 is: 388,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,591 : 277,797 = 277,797 : x
  2. Step 2: Convert to fraction form
    198,591/277,797 = 277,797/x
  3. Step 3: Cross multiply
    198,591x = 277,797 × 277,797
  4. Step 4: Simplify right side
    198,591x = 77,171,173,209
  5. Step 5: Solve for x
    x = 77,171,173,209/198,591
  6. Step 6: Final answer
    x = 388,593.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.