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Finding the Third Proportional to 188,804 and 263,977

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Solution

The third proportional to 188,804 and 263,977 is: 369,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,804 : 263,977 = 263,977 : x
  2. Step 2: Convert to fraction form
    188,804/263,977 = 263,977/x
  3. Step 3: Cross multiply
    188,804x = 263,977 × 263,977
  4. Step 4: Simplify right side
    188,804x = 69,683,856,529
  5. Step 5: Solve for x
    x = 69,683,856,529/188,804
  6. Step 6: Final answer
    x = 369,080.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.