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Finding the Third Proportional to 167,144 and 348,112

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Solution

The third proportional to 167,144 and 348,112 is: 725,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,144 : 348,112 = 348,112 : x
  2. Step 2: Convert to fraction form
    167,144/348,112 = 348,112/x
  3. Step 3: Cross multiply
    167,144x = 348,112 × 348,112
  4. Step 4: Simplify right side
    167,144x = 121,181,964,544
  5. Step 5: Solve for x
    x = 121,181,964,544/167,144
  6. Step 6: Final answer
    x = 725,015.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.