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Finding the Third Proportional to 101,783 and 224,230

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Solution

The third proportional to 101,783 and 224,230 is: 493,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,783 : 224,230 = 224,230 : x
  2. Step 2: Convert to fraction form
    101,783/224,230 = 224,230/x
  3. Step 3: Cross multiply
    101,783x = 224,230 × 224,230
  4. Step 4: Simplify right side
    101,783x = 50,279,092,900
  5. Step 5: Solve for x
    x = 50,279,092,900/101,783
  6. Step 6: Final answer
    x = 493,983.21

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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.