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Finding the Third Proportional to 239,212.50 and 325,014.75

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Solution

The third proportional to 239,212.50 and 325,014.75 is: 441,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,212.50 : 325,014.75 = 325,014.75 : x
  2. Step 2: Convert to fraction form
    239,212.50/325,014.75 = 325,014.75/x
  3. Step 3: Cross multiply
    239,212.50x = 325,014.75 × 325,014.75
  4. Step 4: Simplify right side
    239,212.50x = 105,634,587,717.56
  5. Step 5: Solve for x
    x = 105,634,587,717.56/239,212.50
  6. Step 6: Final answer
    x = 441,593.09

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.