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Finding the Third Proportional to 188,109 and 366,795

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Solution

The third proportional to 188,109 and 366,795 is: 715,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,109 : 366,795 = 366,795 : x
  2. Step 2: Convert to fraction form
    188,109/366,795 = 366,795/x
  3. Step 3: Cross multiply
    188,109x = 366,795 × 366,795
  4. Step 4: Simplify right side
    188,109x = 134,538,572,025
  5. Step 5: Solve for x
    x = 134,538,572,025/188,109
  6. Step 6: Final answer
    x = 715,216.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.