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Finding the Third Proportional to 193 and 284

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Solution

The third proportional to 193 and 284 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 284 = 284 : x
  2. Step 2: Convert to fraction form
    193/284 = 284/x
  3. Step 3: Cross multiply
    193x = 284 × 284
  4. Step 4: Simplify right side
    193x = 80,656
  5. Step 5: Solve for x
    x = 80,656/193
  6. Step 6: Final answer
    x = 417.91

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