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Finding the Third Proportional to 112,966 and 244,529

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Solution

The third proportional to 112,966 and 244,529 is: 529,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,966 : 244,529 = 244,529 : x
  2. Step 2: Convert to fraction form
    112,966/244,529 = 244,529/x
  3. Step 3: Cross multiply
    112,966x = 244,529 × 244,529
  4. Step 4: Simplify right side
    112,966x = 59,794,431,841
  5. Step 5: Solve for x
    x = 59,794,431,841/112,966
  6. Step 6: Final answer
    x = 529,313.53

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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.