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Finding the Third Proportional to 188,678 and 263,955

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Solution

The third proportional to 188,678 and 263,955 is: 369,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,678 : 263,955 = 263,955 : x
  2. Step 2: Convert to fraction form
    188,678/263,955 = 263,955/x
  3. Step 3: Cross multiply
    188,678x = 263,955 × 263,955
  4. Step 4: Simplify right side
    188,678x = 69,672,242,025
  5. Step 5: Solve for x
    x = 69,672,242,025/188,678
  6. Step 6: Final answer
    x = 369,265.32

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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.