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Finding the Third Proportional to 133,041 and 295,607

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Solution

The third proportional to 133,041 and 295,607 is: 656,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 295,607 = 295,607 : x
  2. Step 2: Convert to fraction form
    133,041/295,607 = 295,607/x
  3. Step 3: Cross multiply
    133,041x = 295,607 × 295,607
  4. Step 4: Simplify right side
    133,041x = 87,383,498,449
  5. Step 5: Solve for x
    x = 87,383,498,449/133,041
  6. Step 6: Final answer
    x = 656,816.31

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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.