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Finding the Third Proportional to 150,689 and 227,562

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Solution

The third proportional to 150,689 and 227,562 is: 343,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,689 : 227,562 = 227,562 : x
  2. Step 2: Convert to fraction form
    150,689/227,562 = 227,562/x
  3. Step 3: Cross multiply
    150,689x = 227,562 × 227,562
  4. Step 4: Simplify right side
    150,689x = 51,784,463,844
  5. Step 5: Solve for x
    x = 51,784,463,844/150,689
  6. Step 6: Final answer
    x = 343,651.25

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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.