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Finding the Third Proportional to 188,796 and 368,010

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Solution

The third proportional to 188,796 and 368,010 is: 717,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,796 : 368,010 = 368,010 : x
  2. Step 2: Convert to fraction form
    188,796/368,010 = 368,010/x
  3. Step 3: Cross multiply
    188,796x = 368,010 × 368,010
  4. Step 4: Simplify right side
    188,796x = 135,431,360,100
  5. Step 5: Solve for x
    x = 135,431,360,100/188,796
  6. Step 6: Final answer
    x = 717,342.32

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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.