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Finding the Third Proportional to 149,761 and 325,764

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Solution

The third proportional to 149,761 and 325,764 is: 708,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,761 : 325,764 = 325,764 : x
  2. Step 2: Convert to fraction form
    149,761/325,764 = 325,764/x
  3. Step 3: Cross multiply
    149,761x = 325,764 × 325,764
  4. Step 4: Simplify right side
    149,761x = 106,122,183,696
  5. Step 5: Solve for x
    x = 106,122,183,696/149,761
  6. Step 6: Final answer
    x = 708,610.28

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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.