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Finding the Third Proportional to 150,498 and 355,251

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Solution

The third proportional to 150,498 and 355,251 is: 838,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,498 : 355,251 = 355,251 : x
  2. Step 2: Convert to fraction form
    150,498/355,251 = 355,251/x
  3. Step 3: Cross multiply
    150,498x = 355,251 × 355,251
  4. Step 4: Simplify right side
    150,498x = 126,203,273,001
  5. Step 5: Solve for x
    x = 126,203,273,001/150,498
  6. Step 6: Final answer
    x = 838,571.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.