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Finding the Third Proportional to 179,686 and 299,451

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Solution

The third proportional to 179,686 and 299,451 is: 499,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,686 : 299,451 = 299,451 : x
  2. Step 2: Convert to fraction form
    179,686/299,451 = 299,451/x
  3. Step 3: Cross multiply
    179,686x = 299,451 × 299,451
  4. Step 4: Simplify right side
    179,686x = 89,670,901,401
  5. Step 5: Solve for x
    x = 89,670,901,401/179,686
  6. Step 6: Final answer
    x = 499,042.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.