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Finding the Third Proportional to 150,882 and 330,780

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Solution

The third proportional to 150,882 and 330,780 is: 725,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,882 : 330,780 = 330,780 : x
  2. Step 2: Convert to fraction form
    150,882/330,780 = 330,780/x
  3. Step 3: Cross multiply
    150,882x = 330,780 × 330,780
  4. Step 4: Simplify right side
    150,882x = 109,415,408,400
  5. Step 5: Solve for x
    x = 109,415,408,400/150,882
  6. Step 6: Final answer
    x = 725,172.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.