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Finding the Third Proportional to 167,036 and 367,152

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Solution

The third proportional to 167,036 and 367,152 is: 807,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,036 : 367,152 = 367,152 : x
  2. Step 2: Convert to fraction form
    167,036/367,152 = 367,152/x
  3. Step 3: Cross multiply
    167,036x = 367,152 × 367,152
  4. Step 4: Simplify right side
    167,036x = 134,800,591,104
  5. Step 5: Solve for x
    x = 134,800,591,104/167,036
  6. Step 6: Final answer
    x = 807,015.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.