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Finding the Third Proportional to 131,546 and 284,110

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Solution

The third proportional to 131,546 and 284,110 is: 613,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,546 : 284,110 = 284,110 : x
  2. Step 2: Convert to fraction form
    131,546/284,110 = 284,110/x
  3. Step 3: Cross multiply
    131,546x = 284,110 × 284,110
  4. Step 4: Simplify right side
    131,546x = 80,718,492,100
  5. Step 5: Solve for x
    x = 80,718,492,100/131,546
  6. Step 6: Final answer
    x = 613,614.19

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Why These Related Problems?

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