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Finding the Third Proportional to 193,692 and 284,628

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Solution

The third proportional to 193,692 and 284,628 is: 418,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,692 : 284,628 = 284,628 : x
  2. Step 2: Convert to fraction form
    193,692/284,628 = 284,628/x
  3. Step 3: Cross multiply
    193,692x = 284,628 × 284,628
  4. Step 4: Simplify right side
    193,692x = 81,013,098,384
  5. Step 5: Solve for x
    x = 81,013,098,384/193,692
  6. Step 6: Final answer
    x = 418,257.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.