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Finding the Third Proportional to 171,885 and 373,254

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Solution

The third proportional to 171,885 and 373,254 is: 810,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,885 : 373,254 = 373,254 : x
  2. Step 2: Convert to fraction form
    171,885/373,254 = 373,254/x
  3. Step 3: Cross multiply
    171,885x = 373,254 × 373,254
  4. Step 4: Simplify right side
    171,885x = 139,318,548,516
  5. Step 5: Solve for x
    x = 139,318,548,516/171,885
  6. Step 6: Final answer
    x = 810,533.49

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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.