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Finding the Third Proportional to 167,192 and 256,036

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Solution

The third proportional to 167,192 and 256,036 is: 392,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,192 : 256,036 = 256,036 : x
  2. Step 2: Convert to fraction form
    167,192/256,036 = 256,036/x
  3. Step 3: Cross multiply
    167,192x = 256,036 × 256,036
  4. Step 4: Simplify right side
    167,192x = 65,554,433,296
  5. Step 5: Solve for x
    x = 65,554,433,296/167,192
  6. Step 6: Final answer
    x = 392,090.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.