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Finding the Third Proportional to 105,177 and 226,392

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Solution

The third proportional to 105,177 and 226,392 is: 487,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,177 : 226,392 = 226,392 : x
  2. Step 2: Convert to fraction form
    105,177/226,392 = 226,392/x
  3. Step 3: Cross multiply
    105,177x = 226,392 × 226,392
  4. Step 4: Simplify right side
    105,177x = 51,253,337,664
  5. Step 5: Solve for x
    x = 51,253,337,664/105,177
  6. Step 6: Final answer
    x = 487,305.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.