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Finding the Third Proportional to 140,589 and 303,660

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Solution

The third proportional to 140,589 and 303,660 is: 655,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,589 : 303,660 = 303,660 : x
  2. Step 2: Convert to fraction form
    140,589/303,660 = 303,660/x
  3. Step 3: Cross multiply
    140,589x = 303,660 × 303,660
  4. Step 4: Simplify right side
    140,589x = 92,209,395,600
  5. Step 5: Solve for x
    x = 92,209,395,600/140,589
  6. Step 6: Final answer
    x = 655,879.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.