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Finding the Third Proportional to 188,147.39 and 268,208.09

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Solution

The third proportional to 188,147.39 and 268,208.09 is: 382,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,147.39 : 268,208.09 = 268,208.09 : x
  2. Step 2: Convert to fraction form
    188,147.39/268,208.09 = 268,208.09/x
  3. Step 3: Cross multiply
    188,147.39x = 268,208.09 × 268,208.09
  4. Step 4: Simplify right side
    188,147.39x = 71,935,577,362.26
  5. Step 5: Solve for x
    x = 71,935,577,362.26/188,147.39
  6. Step 6: Final answer
    x = 382,336.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.