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Finding the Third Proportional to 188,031.75 and 397,002

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Solution

The third proportional to 188,031.75 and 397,002 is: 838,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,031.75 : 397,002 = 397,002 : x
  2. Step 2: Convert to fraction form
    188,031.75/397,002 = 397,002/x
  3. Step 3: Cross multiply
    188,031.75x = 397,002 × 397,002
  4. Step 4: Simplify right side
    188,031.75x = 157,610,588,004
  5. Step 5: Solve for x
    x = 157,610,588,004/188,031.75
  6. Step 6: Final answer
    x = 838,212.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.