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Finding the Third Proportional to 150,006 and 219,086

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Solution

The third proportional to 150,006 and 219,086 is: 319,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,006 : 219,086 = 219,086 : x
  2. Step 2: Convert to fraction form
    150,006/219,086 = 219,086/x
  3. Step 3: Cross multiply
    150,006x = 219,086 × 219,086
  4. Step 4: Simplify right side
    150,006x = 47,998,675,396
  5. Step 5: Solve for x
    x = 47,998,675,396/150,006
  6. Step 6: Final answer
    x = 319,978.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.