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Finding the Third Proportional to 131,702 and 284,144

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Solution

The third proportional to 131,702 and 284,144 is: 613,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,702 : 284,144 = 284,144 : x
  2. Step 2: Convert to fraction form
    131,702/284,144 = 284,144/x
  3. Step 3: Cross multiply
    131,702x = 284,144 × 284,144
  4. Step 4: Simplify right side
    131,702x = 80,737,812,736
  5. Step 5: Solve for x
    x = 80,737,812,736/131,702
  6. Step 6: Final answer
    x = 613,034.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.