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Finding the Third Proportional to 109,795.50 and 239,670

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Solution

The third proportional to 109,795.50 and 239,670 is: 523,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,795.50 : 239,670 = 239,670 : x
  2. Step 2: Convert to fraction form
    109,795.50/239,670 = 239,670/x
  3. Step 3: Cross multiply
    109,795.50x = 239,670 × 239,670
  4. Step 4: Simplify right side
    109,795.50x = 57,441,708,900
  5. Step 5: Solve for x
    x = 57,441,708,900/109,795.50
  6. Step 6: Final answer
    x = 523,169.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.