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Finding the Third Proportional to 193,910 and 284,481

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Solution

The third proportional to 193,910 and 284,481 is: 417,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,910 : 284,481 = 284,481 : x
  2. Step 2: Convert to fraction form
    193,910/284,481 = 284,481/x
  3. Step 3: Cross multiply
    193,910x = 284,481 × 284,481
  4. Step 4: Simplify right side
    193,910x = 80,929,439,361
  5. Step 5: Solve for x
    x = 80,929,439,361/193,910
  6. Step 6: Final answer
    x = 417,355.68

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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.