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Finding the Third Proportional to 193,716 and 419,601

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Solution

The third proportional to 193,716 and 419,601 is: 908,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,716 : 419,601 = 419,601 : x
  2. Step 2: Convert to fraction form
    193,716/419,601 = 419,601/x
  3. Step 3: Cross multiply
    193,716x = 419,601 × 419,601
  4. Step 4: Simplify right side
    193,716x = 176,064,999,201
  5. Step 5: Solve for x
    x = 176,064,999,201/193,716
  6. Step 6: Final answer
    x = 908,882.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.