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Finding the Third Proportional to 188,546 and 263,738

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Solution

The third proportional to 188,546 and 263,738 is: 368,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,546 : 263,738 = 263,738 : x
  2. Step 2: Convert to fraction form
    188,546/263,738 = 263,738/x
  3. Step 3: Cross multiply
    188,546x = 263,738 × 263,738
  4. Step 4: Simplify right side
    188,546x = 69,557,732,644
  5. Step 5: Solve for x
    x = 69,557,732,644/188,546
  6. Step 6: Final answer
    x = 368,916.51

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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.