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Finding the Third Proportional to 193,665 and 419,489

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Solution

The third proportional to 193,665 and 419,489 is: 908,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,665 : 419,489 = 419,489 : x
  2. Step 2: Convert to fraction form
    193,665/419,489 = 419,489/x
  3. Step 3: Cross multiply
    193,665x = 419,489 × 419,489
  4. Step 4: Simplify right side
    193,665x = 175,971,021,121
  5. Step 5: Solve for x
    x = 175,971,021,121/193,665
  6. Step 6: Final answer
    x = 908,636.16

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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.