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Finding the Third Proportional to 150,032 and 319,162

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Solution

The third proportional to 150,032 and 319,162 is: 678,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032 : 319,162 = 319,162 : x
  2. Step 2: Convert to fraction form
    150,032/319,162 = 319,162/x
  3. Step 3: Cross multiply
    150,032x = 319,162 × 319,162
  4. Step 4: Simplify right side
    150,032x = 101,864,382,244
  5. Step 5: Solve for x
    x = 101,864,382,244/150,032
  6. Step 6: Final answer
    x = 678,951.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.