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Finding the Third Proportional to 179,660 and 299,414

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Solution

The third proportional to 179,660 and 299,414 is: 498,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,660 : 299,414 = 299,414 : x
  2. Step 2: Convert to fraction form
    179,660/299,414 = 299,414/x
  3. Step 3: Cross multiply
    179,660x = 299,414 × 299,414
  4. Step 4: Simplify right side
    179,660x = 89,648,743,396
  5. Step 5: Solve for x
    x = 89,648,743,396/179,660
  6. Step 6: Final answer
    x = 498,991.11

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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.