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Finding the Third Proportional to 126,622 and 295,817

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Solution

The third proportional to 126,622 and 295,817 is: 691,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,622 : 295,817 = 295,817 : x
  2. Step 2: Convert to fraction form
    126,622/295,817 = 295,817/x
  3. Step 3: Cross multiply
    126,622x = 295,817 × 295,817
  4. Step 4: Simplify right side
    126,622x = 87,507,697,489
  5. Step 5: Solve for x
    x = 87,507,697,489/126,622
  6. Step 6: Final answer
    x = 691,093.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.