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Finding the Third Proportional to 179,950 and 393,799

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Solution

The third proportional to 179,950 and 393,799 is: 861,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,950 : 393,799 = 393,799 : x
  2. Step 2: Convert to fraction form
    179,950/393,799 = 393,799/x
  3. Step 3: Cross multiply
    179,950x = 393,799 × 393,799
  4. Step 4: Simplify right side
    179,950x = 155,077,652,401
  5. Step 5: Solve for x
    x = 155,077,652,401/179,950
  6. Step 6: Final answer
    x = 861,781.90

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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.