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Finding the Third Proportional to 167,022 and 371,358

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Solution

The third proportional to 167,022 and 371,358 is: 825,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,022 : 371,358 = 371,358 : x
  2. Step 2: Convert to fraction form
    167,022/371,358 = 371,358/x
  3. Step 3: Cross multiply
    167,022x = 371,358 × 371,358
  4. Step 4: Simplify right side
    167,022x = 137,906,764,164
  5. Step 5: Solve for x
    x = 137,906,764,164/167,022
  6. Step 6: Final answer
    x = 825,680.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.