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Finding the Third Proportional to 149,921.25 and 322,074.75

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Solution

The third proportional to 149,921.25 and 322,074.75 is: 691,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,921.25 : 322,074.75 = 322,074.75 : x
  2. Step 2: Convert to fraction form
    149,921.25/322,074.75 = 322,074.75/x
  3. Step 3: Cross multiply
    149,921.25x = 322,074.75 × 322,074.75
  4. Step 4: Simplify right side
    149,921.25x = 103,732,144,587.56
  5. Step 5: Solve for x
    x = 103,732,144,587.56/149,921.25
  6. Step 6: Final answer
    x = 691,910.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.