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Finding the Third Proportional to 149,761 and 325,766

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Solution

The third proportional to 149,761 and 325,766 is: 708,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,761 : 325,766 = 325,766 : x
  2. Step 2: Convert to fraction form
    149,761/325,766 = 325,766/x
  3. Step 3: Cross multiply
    149,761x = 325,766 × 325,766
  4. Step 4: Simplify right side
    149,761x = 106,123,486,756
  5. Step 5: Solve for x
    x = 106,123,486,756/149,761
  6. Step 6: Final answer
    x = 708,618.98

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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.