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Finding the Third Proportional to 167,022 and 350,448

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Solution

The third proportional to 167,022 and 350,448 is: 735,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,022 : 350,448 = 350,448 : x
  2. Step 2: Convert to fraction form
    167,022/350,448 = 350,448/x
  3. Step 3: Cross multiply
    167,022x = 350,448 × 350,448
  4. Step 4: Simplify right side
    167,022x = 122,813,800,704
  5. Step 5: Solve for x
    x = 122,813,800,704/167,022
  6. Step 6: Final answer
    x = 735,315.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.