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Finding the Third Proportional to 101,781 and 224,226

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Solution

The third proportional to 101,781 and 224,226 is: 493,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,781 : 224,226 = 224,226 : x
  2. Step 2: Convert to fraction form
    101,781/224,226 = 224,226/x
  3. Step 3: Cross multiply
    101,781x = 224,226 × 224,226
  4. Step 4: Simplify right side
    101,781x = 50,277,299,076
  5. Step 5: Solve for x
    x = 50,277,299,076/101,781
  6. Step 6: Final answer
    x = 493,975.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.