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Finding the Third Proportional to 150,045 and 354,189

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Solution

The third proportional to 150,045 and 354,189 is: 836,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,045 : 354,189 = 354,189 : x
  2. Step 2: Convert to fraction form
    150,045/354,189 = 354,189/x
  3. Step 3: Cross multiply
    150,045x = 354,189 × 354,189
  4. Step 4: Simplify right side
    150,045x = 125,449,847,721
  5. Step 5: Solve for x
    x = 125,449,847,721/150,045
  6. Step 6: Final answer
    x = 836,081.49

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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.