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Finding the Third Proportional to 178,956 and 389,401

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Solution

The third proportional to 178,956 and 389,401 is: 847,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,956 : 389,401 = 389,401 : x
  2. Step 2: Convert to fraction form
    178,956/389,401 = 389,401/x
  3. Step 3: Cross multiply
    178,956x = 389,401 × 389,401
  4. Step 4: Simplify right side
    178,956x = 151,633,138,801
  5. Step 5: Solve for x
    x = 151,633,138,801/178,956
  6. Step 6: Final answer
    x = 847,320.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.