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Finding the Third Proportional to 167,841 and 364,899

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Solution

The third proportional to 167,841 and 364,899 is: 793,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,841 : 364,899 = 364,899 : x
  2. Step 2: Convert to fraction form
    167,841/364,899 = 364,899/x
  3. Step 3: Cross multiply
    167,841x = 364,899 × 364,899
  4. Step 4: Simplify right side
    167,841x = 133,151,280,201
  5. Step 5: Solve for x
    x = 133,151,280,201/167,841
  6. Step 6: Final answer
    x = 793,317.96

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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.