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Finding the Third Proportional to 149,764 and 325,771

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Solution

The third proportional to 149,764 and 325,771 is: 708,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764 : 325,771 = 325,771 : x
  2. Step 2: Convert to fraction form
    149,764/325,771 = 325,771/x
  3. Step 3: Cross multiply
    149,764x = 325,771 × 325,771
  4. Step 4: Simplify right side
    149,764x = 106,126,744,441
  5. Step 5: Solve for x
    x = 106,126,744,441/149,764
  6. Step 6: Final answer
    x = 708,626.54

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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.