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Finding the Third Proportional to 171,834 and 373,188

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Solution

The third proportional to 171,834 and 373,188 is: 810,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,834 : 373,188 = 373,188 : x
  2. Step 2: Convert to fraction form
    171,834/373,188 = 373,188/x
  3. Step 3: Cross multiply
    171,834x = 373,188 × 373,188
  4. Step 4: Simplify right side
    171,834x = 139,269,283,344
  5. Step 5: Solve for x
    x = 139,269,283,344/171,834
  6. Step 6: Final answer
    x = 810,487.35

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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.