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Finding the Third Proportional to 188,951.50 and 264,167

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Solution

The third proportional to 188,951.50 and 264,167 is: 369,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,951.50 : 264,167 = 264,167 : x
  2. Step 2: Convert to fraction form
    188,951.50/264,167 = 264,167/x
  3. Step 3: Cross multiply
    188,951.50x = 264,167 × 264,167
  4. Step 4: Simplify right side
    188,951.50x = 69,784,203,889
  5. Step 5: Solve for x
    x = 69,784,203,889/188,951.50
  6. Step 6: Final answer
    x = 369,323.37

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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.