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Finding the Third Proportional to 149,759 and 325,756

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Solution

The third proportional to 149,759 and 325,756 is: 708,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,759 : 325,756 = 325,756 : x
  2. Step 2: Convert to fraction form
    149,759/325,756 = 325,756/x
  3. Step 3: Cross multiply
    149,759x = 325,756 × 325,756
  4. Step 4: Simplify right side
    149,759x = 106,116,971,536
  5. Step 5: Solve for x
    x = 106,116,971,536/149,759
  6. Step 6: Final answer
    x = 708,584.94

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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.