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Finding the Third Proportional to 239,199.75 and 385,410.75

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Solution

The third proportional to 239,199.75 and 385,410.75 is: 620,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,199.75 : 385,410.75 = 385,410.75 : x
  2. Step 2: Convert to fraction form
    239,199.75/385,410.75 = 385,410.75/x
  3. Step 3: Cross multiply
    239,199.75x = 385,410.75 × 385,410.75
  4. Step 4: Simplify right side
    239,199.75x = 148,541,446,215.56
  5. Step 5: Solve for x
    x = 148,541,446,215.56/239,199.75
  6. Step 6: Final answer
    x = 620,993.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.