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Finding the Third Proportional to 102,204 and 223,848

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Solution

The third proportional to 102,204 and 223,848 is: 490,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204 : 223,848 = 223,848 : x
  2. Step 2: Convert to fraction form
    102,204/223,848 = 223,848/x
  3. Step 3: Cross multiply
    102,204x = 223,848 × 223,848
  4. Step 4: Simplify right side
    102,204x = 50,107,927,104
  5. Step 5: Solve for x
    x = 50,107,927,104/102,204
  6. Step 6: Final answer
    x = 490,273.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.