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Finding the Third Proportional to 114,074 and 274,817

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Solution

The third proportional to 114,074 and 274,817 is: 662,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,074 : 274,817 = 274,817 : x
  2. Step 2: Convert to fraction form
    114,074/274,817 = 274,817/x
  3. Step 3: Cross multiply
    114,074x = 274,817 × 274,817
  4. Step 4: Simplify right side
    114,074x = 75,524,383,489
  5. Step 5: Solve for x
    x = 75,524,383,489/114,074
  6. Step 6: Final answer
    x = 662,064.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.