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Finding the Third Proportional to 175,350 and 380,589

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Solution

The third proportional to 175,350 and 380,589 is: 826,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,350 : 380,589 = 380,589 : x
  2. Step 2: Convert to fraction form
    175,350/380,589 = 380,589/x
  3. Step 3: Cross multiply
    175,350x = 380,589 × 380,589
  4. Step 4: Simplify right side
    175,350x = 144,847,986,921
  5. Step 5: Solve for x
    x = 144,847,986,921/175,350
  6. Step 6: Final answer
    x = 826,050.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.