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Finding the Third Proportional to 167,001 and 363,973

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Solution

The third proportional to 167,001 and 363,973 is: 793,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,001 : 363,973 = 363,973 : x
  2. Step 2: Convert to fraction form
    167,001/363,973 = 363,973/x
  3. Step 3: Cross multiply
    167,001x = 363,973 × 363,973
  4. Step 4: Simplify right side
    167,001x = 132,476,344,729
  5. Step 5: Solve for x
    x = 132,476,344,729/167,001
  6. Step 6: Final answer
    x = 793,266.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.