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Finding the Third Proportional to 159,697 and 351,799

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Solution

The third proportional to 159,697 and 351,799 is: 774,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,697 : 351,799 = 351,799 : x
  2. Step 2: Convert to fraction form
    159,697/351,799 = 351,799/x
  3. Step 3: Cross multiply
    159,697x = 351,799 × 351,799
  4. Step 4: Simplify right side
    159,697x = 123,762,536,401
  5. Step 5: Solve for x
    x = 123,762,536,401/159,697
  6. Step 6: Final answer
    x = 774,983.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.