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Finding the Third Proportional to 150,804 and 331,416

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Solution

The third proportional to 150,804 and 331,416 is: 728,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,804 : 331,416 = 331,416 : x
  2. Step 2: Convert to fraction form
    150,804/331,416 = 331,416/x
  3. Step 3: Cross multiply
    150,804x = 331,416 × 331,416
  4. Step 4: Simplify right side
    150,804x = 109,836,565,056
  5. Step 5: Solve for x
    x = 109,836,565,056/150,804
  6. Step 6: Final answer
    x = 728,339.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.