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Finding the Third Proportional to 181,170 and 393,504

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Solution

The third proportional to 181,170 and 393,504 is: 854,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170 : 393,504 = 393,504 : x
  2. Step 2: Convert to fraction form
    181,170/393,504 = 393,504/x
  3. Step 3: Cross multiply
    181,170x = 393,504 × 393,504
  4. Step 4: Simplify right side
    181,170x = 154,845,398,016
  5. Step 5: Solve for x
    x = 154,845,398,016/181,170
  6. Step 6: Final answer
    x = 854,696.68

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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.