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Finding the Third Proportional to 193,916 and 284,488

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Solution

The third proportional to 193,916 and 284,488 is: 417,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,916 : 284,488 = 284,488 : x
  2. Step 2: Convert to fraction form
    193,916/284,488 = 284,488/x
  3. Step 3: Cross multiply
    193,916x = 284,488 × 284,488
  4. Step 4: Simplify right side
    193,916x = 80,933,422,144
  5. Step 5: Solve for x
    x = 80,933,422,144/193,916
  6. Step 6: Final answer
    x = 417,363.30

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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.