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Finding the Third Proportional to 150,638 and 233,441

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Solution

The third proportional to 150,638 and 233,441 is: 361,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,638 : 233,441 = 233,441 : x
  2. Step 2: Convert to fraction form
    150,638/233,441 = 233,441/x
  3. Step 3: Cross multiply
    150,638x = 233,441 × 233,441
  4. Step 4: Simplify right side
    150,638x = 54,494,700,481
  5. Step 5: Solve for x
    x = 54,494,700,481/150,638
  6. Step 6: Final answer
    x = 361,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.