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Finding the Third Proportional to 181,016 and 238,036

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Solution

The third proportional to 181,016 and 238,036 is: 313,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,016 : 238,036 = 238,036 : x
  2. Step 2: Convert to fraction form
    181,016/238,036 = 238,036/x
  3. Step 3: Cross multiply
    181,016x = 238,036 × 238,036
  4. Step 4: Simplify right side
    181,016x = 56,661,137,296
  5. Step 5: Solve for x
    x = 56,661,137,296/181,016
  6. Step 6: Final answer
    x = 313,017.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.