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Finding the Third Proportional to 101,782 and 224,228

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Solution

The third proportional to 101,782 and 224,228 is: 493,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782 : 224,228 = 224,228 : x
  2. Step 2: Convert to fraction form
    101,782/224,228 = 224,228/x
  3. Step 3: Cross multiply
    101,782x = 224,228 × 224,228
  4. Step 4: Simplify right side
    101,782x = 50,278,195,984
  5. Step 5: Solve for x
    x = 50,278,195,984/101,782
  6. Step 6: Final answer
    x = 493,979.25

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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.