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Finding the Third Proportional to 102,266 and 223,126

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Solution

The third proportional to 102,266 and 223,126 is: 486,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,266 : 223,126 = 223,126 : x
  2. Step 2: Convert to fraction form
    102,266/223,126 = 223,126/x
  3. Step 3: Cross multiply
    102,266x = 223,126 × 223,126
  4. Step 4: Simplify right side
    102,266x = 49,785,211,876
  5. Step 5: Solve for x
    x = 49,785,211,876/102,266
  6. Step 6: Final answer
    x = 486,820.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.