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Finding the Third Proportional to 116,934 and 188,322

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Solution

The third proportional to 116,934 and 188,322 is: 303,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,934 : 188,322 = 188,322 : x
  2. Step 2: Convert to fraction form
    116,934/188,322 = 188,322/x
  3. Step 3: Cross multiply
    116,934x = 188,322 × 188,322
  4. Step 4: Simplify right side
    116,934x = 35,465,175,684
  5. Step 5: Solve for x
    x = 35,465,175,684/116,934
  6. Step 6: Final answer
    x = 303,292.25

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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.