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Finding the Third Proportional to 171,836 and 373,192

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Solution

The third proportional to 171,836 and 373,192 is: 810,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,836 : 373,192 = 373,192 : x
  2. Step 2: Convert to fraction form
    171,836/373,192 = 373,192/x
  3. Step 3: Cross multiply
    171,836x = 373,192 × 373,192
  4. Step 4: Simplify right side
    171,836x = 139,272,268,864
  5. Step 5: Solve for x
    x = 139,272,268,864/171,836
  6. Step 6: Final answer
    x = 810,495.29

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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.