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Finding the Third Proportional to 115,396.50 and 239,965.50

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Solution

The third proportional to 115,396.50 and 239,965.50 is: 499,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,396.50 : 239,965.50 = 239,965.50 : x
  2. Step 2: Convert to fraction form
    115,396.50/239,965.50 = 239,965.50/x
  3. Step 3: Cross multiply
    115,396.50x = 239,965.50 × 239,965.50
  4. Step 4: Simplify right side
    115,396.50x = 57,583,441,190.25
  5. Step 5: Solve for x
    x = 57,583,441,190.25/115,396.50
  6. Step 6: Final answer
    x = 499,005.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.