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Finding the Third Proportional to 167,198 and 245,451

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Solution

The third proportional to 167,198 and 245,451 is: 360,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198 : 245,451 = 245,451 : x
  2. Step 2: Convert to fraction form
    167,198/245,451 = 245,451/x
  3. Step 3: Cross multiply
    167,198x = 245,451 × 245,451
  4. Step 4: Simplify right side
    167,198x = 60,246,193,401
  5. Step 5: Solve for x
    x = 60,246,193,401/167,198
  6. Step 6: Final answer
    x = 360,328.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.