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Finding the Third Proportional to 193,187 and 284,194

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Solution

The third proportional to 193,187 and 284,194 is: 418,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187 : 284,194 = 284,194 : x
  2. Step 2: Convert to fraction form
    193,187/284,194 = 284,194/x
  3. Step 3: Cross multiply
    193,187x = 284,194 × 284,194
  4. Step 4: Simplify right side
    193,187x = 80,766,229,636
  5. Step 5: Solve for x
    x = 80,766,229,636/193,187
  6. Step 6: Final answer
    x = 418,072.80

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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.