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Finding the Third Proportional to 133,022 and 295,570

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Solution

The third proportional to 133,022 and 295,570 is: 656,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022 : 295,570 = 295,570 : x
  2. Step 2: Convert to fraction form
    133,022/295,570 = 295,570/x
  3. Step 3: Cross multiply
    133,022x = 295,570 × 295,570
  4. Step 4: Simplify right side
    133,022x = 87,361,624,900
  5. Step 5: Solve for x
    x = 87,361,624,900/133,022
  6. Step 6: Final answer
    x = 656,745.69

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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.