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Finding the Third Proportional to 171,832 and 373,184

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Solution

The third proportional to 171,832 and 373,184 is: 810,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,832 : 373,184 = 373,184 : x
  2. Step 2: Convert to fraction form
    171,832/373,184 = 373,184/x
  3. Step 3: Cross multiply
    171,832x = 373,184 × 373,184
  4. Step 4: Simplify right side
    171,832x = 139,266,297,856
  5. Step 5: Solve for x
    x = 139,266,297,856/171,832
  6. Step 6: Final answer
    x = 810,479.41

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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.