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Finding the Third Proportional to 134,505 and 303,661

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Solution

The third proportional to 134,505 and 303,661 is: 685,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,505 : 303,661 = 303,661 : x
  2. Step 2: Convert to fraction form
    134,505/303,661 = 303,661/x
  3. Step 3: Cross multiply
    134,505x = 303,661 × 303,661
  4. Step 4: Simplify right side
    134,505x = 92,210,002,921
  5. Step 5: Solve for x
    x = 92,210,002,921/134,505
  6. Step 6: Final answer
    x = 685,550.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.