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Finding the Third Proportional to 193,936 and 411,348

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Solution

The third proportional to 193,936 and 411,348 is: 872,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,936 : 411,348 = 411,348 : x
  2. Step 2: Convert to fraction form
    193,936/411,348 = 411,348/x
  3. Step 3: Cross multiply
    193,936x = 411,348 × 411,348
  4. Step 4: Simplify right side
    193,936x = 169,207,177,104
  5. Step 5: Solve for x
    x = 169,207,177,104/193,936
  6. Step 6: Final answer
    x = 872,489.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.