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Finding the Third Proportional to 193,882.50 and 289,665.75

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Solution

The third proportional to 193,882.50 and 289,665.75 is: 432,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,882.50 : 289,665.75 = 289,665.75 : x
  2. Step 2: Convert to fraction form
    193,882.50/289,665.75 = 289,665.75/x
  3. Step 3: Cross multiply
    193,882.50x = 289,665.75 × 289,665.75
  4. Step 4: Simplify right side
    193,882.50x = 83,906,246,723.06
  5. Step 5: Solve for x
    x = 83,906,246,723.06/193,882.50
  6. Step 6: Final answer
    x = 432,768.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.