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Finding the Third Proportional to 173,857 and 380,897

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Solution

The third proportional to 173,857 and 380,897 is: 834,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,857 : 380,897 = 380,897 : x
  2. Step 2: Convert to fraction form
    173,857/380,897 = 380,897/x
  3. Step 3: Cross multiply
    173,857x = 380,897 × 380,897
  4. Step 4: Simplify right side
    173,857x = 145,082,524,609
  5. Step 5: Solve for x
    x = 145,082,524,609/173,857
  6. Step 6: Final answer
    x = 834,493.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.