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Finding the Third Proportional to 167,022 and 342,243

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Solution

The third proportional to 167,022 and 342,243 is: 701,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,022 : 342,243 = 342,243 : x
  2. Step 2: Convert to fraction form
    167,022/342,243 = 342,243/x
  3. Step 3: Cross multiply
    167,022x = 342,243 × 342,243
  4. Step 4: Simplify right side
    167,022x = 117,130,271,049
  5. Step 5: Solve for x
    x = 117,130,271,049/167,022
  6. Step 6: Final answer
    x = 701,286.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.