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Finding the Third Proportional to 110,965 and 239,665

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Solution

The third proportional to 110,965 and 239,665 is: 517,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965 : 239,665 = 239,665 : x
  2. Step 2: Convert to fraction form
    110,965/239,665 = 239,665/x
  3. Step 3: Cross multiply
    110,965x = 239,665 × 239,665
  4. Step 4: Simplify right side
    110,965x = 57,439,312,225
  5. Step 5: Solve for x
    x = 57,439,312,225/110,965
  6. Step 6: Final answer
    x = 517,634.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.