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Finding the Third Proportional to 106,296 and 230,052

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Solution

The third proportional to 106,296 and 230,052 is: 497,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296 : 230,052 = 230,052 : x
  2. Step 2: Convert to fraction form
    106,296/230,052 = 230,052/x
  3. Step 3: Cross multiply
    106,296x = 230,052 × 230,052
  4. Step 4: Simplify right side
    106,296x = 52,923,922,704
  5. Step 5: Solve for x
    x = 52,923,922,704/106,296
  6. Step 6: Final answer
    x = 497,891.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.