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Finding the Third Proportional to 171,665 and 372,885

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Solution

The third proportional to 171,665 and 372,885 is: 809,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,665 : 372,885 = 372,885 : x
  2. Step 2: Convert to fraction form
    171,665/372,885 = 372,885/x
  3. Step 3: Cross multiply
    171,665x = 372,885 × 372,885
  4. Step 4: Simplify right side
    171,665x = 139,043,223,225
  5. Step 5: Solve for x
    x = 139,043,223,225/171,665
  6. Step 6: Final answer
    x = 809,968.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.