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Finding the Third Proportional to 193,655 and 422,356

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Solution

The third proportional to 193,655 and 422,356 is: 921,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,655 : 422,356 = 422,356 : x
  2. Step 2: Convert to fraction form
    193,655/422,356 = 422,356/x
  3. Step 3: Cross multiply
    193,655x = 422,356 × 422,356
  4. Step 4: Simplify right side
    193,655x = 178,384,590,736
  5. Step 5: Solve for x
    x = 178,384,590,736/193,655
  6. Step 6: Final answer
    x = 921,146.32

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Why These Related Problems?

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