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Finding the Third Proportional to 150,491 and 225,001

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Solution

The third proportional to 150,491 and 225,001 is: 336,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,491 : 225,001 = 225,001 : x
  2. Step 2: Convert to fraction form
    150,491/225,001 = 225,001/x
  3. Step 3: Cross multiply
    150,491x = 225,001 × 225,001
  4. Step 4: Simplify right side
    150,491x = 50,625,450,001
  5. Step 5: Solve for x
    x = 50,625,450,001/150,491
  6. Step 6: Final answer
    x = 336,401.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.