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Finding the Third Proportional to 188,654 and 268,221

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Solution

The third proportional to 188,654 and 268,221 is: 381,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,654 : 268,221 = 268,221 : x
  2. Step 2: Convert to fraction form
    188,654/268,221 = 268,221/x
  3. Step 3: Cross multiply
    188,654x = 268,221 × 268,221
  4. Step 4: Simplify right side
    188,654x = 71,942,504,841
  5. Step 5: Solve for x
    x = 71,942,504,841/188,654
  6. Step 6: Final answer
    x = 381,346.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.