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Finding the Third Proportional to 178,598 and 270,193

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Solution

The third proportional to 178,598 and 270,193 is: 408,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,598 : 270,193 = 270,193 : x
  2. Step 2: Convert to fraction form
    178,598/270,193 = 270,193/x
  3. Step 3: Cross multiply
    178,598x = 270,193 × 270,193
  4. Step 4: Simplify right side
    178,598x = 73,004,257,249
  5. Step 5: Solve for x
    x = 73,004,257,249/178,598
  6. Step 6: Final answer
    x = 408,763.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.