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Finding the Third Proportional to 167,971 and 368,706

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Solution

The third proportional to 167,971 and 368,706 is: 809,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,971 : 368,706 = 368,706 : x
  2. Step 2: Convert to fraction form
    167,971/368,706 = 368,706/x
  3. Step 3: Cross multiply
    167,971x = 368,706 × 368,706
  4. Step 4: Simplify right side
    167,971x = 135,944,114,436
  5. Step 5: Solve for x
    x = 135,944,114,436/167,971
  6. Step 6: Final answer
    x = 809,330.86

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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.