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Finding the Third Proportional to 188,797 and 368,012

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Solution

The third proportional to 188,797 and 368,012 is: 717,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,797 : 368,012 = 368,012 : x
  2. Step 2: Convert to fraction form
    188,797/368,012 = 368,012/x
  3. Step 3: Cross multiply
    188,797x = 368,012 × 368,012
  4. Step 4: Simplify right side
    188,797x = 135,432,832,144
  5. Step 5: Solve for x
    x = 135,432,832,144/188,797
  6. Step 6: Final answer
    x = 717,346.31

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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.