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Finding the Third Proportional to 149,199.75 and 305,292.75

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Solution

The third proportional to 149,199.75 and 305,292.75 is: 624,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,199.75 : 305,292.75 = 305,292.75 : x
  2. Step 2: Convert to fraction form
    149,199.75/305,292.75 = 305,292.75/x
  3. Step 3: Cross multiply
    149,199.75x = 305,292.75 × 305,292.75
  4. Step 4: Simplify right side
    149,199.75x = 93,203,663,202.56
  5. Step 5: Solve for x
    x = 93,203,663,202.56/149,199.75
  6. Step 6: Final answer
    x = 624,690.48

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.