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Finding the Third Proportional to 149,759 and 325,757

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Solution

The third proportional to 149,759 and 325,757 is: 708,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,759 : 325,757 = 325,757 : x
  2. Step 2: Convert to fraction form
    149,759/325,757 = 325,757/x
  3. Step 3: Cross multiply
    149,759x = 325,757 × 325,757
  4. Step 4: Simplify right side
    149,759x = 106,117,623,049
  5. Step 5: Solve for x
    x = 106,117,623,049/149,759
  6. Step 6: Final answer
    x = 708,589.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.