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Finding the Third Proportional to 73,266 and 150,414

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Solution

The third proportional to 73,266 and 150,414 is: 308,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,266 : 150,414 = 150,414 : x
  2. Step 2: Convert to fraction form
    73,266/150,414 = 150,414/x
  3. Step 3: Cross multiply
    73,266x = 150,414 × 150,414
  4. Step 4: Simplify right side
    73,266x = 22,624,371,396
  5. Step 5: Solve for x
    x = 22,624,371,396/73,266
  6. Step 6: Final answer
    x = 308,797.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.