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Finding the Third Proportional to 116,909 and 188,274

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Solution

The third proportional to 116,909 and 188,274 is: 303,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,909 : 188,274 = 188,274 : x
  2. Step 2: Convert to fraction form
    116,909/188,274 = 188,274/x
  3. Step 3: Cross multiply
    116,909x = 188,274 × 188,274
  4. Step 4: Simplify right side
    116,909x = 35,447,099,076
  5. Step 5: Solve for x
    x = 35,447,099,076/116,909
  6. Step 6: Final answer
    x = 303,202.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.