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Finding the Third Proportional to 150,896.25 and 326,295

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Solution

The third proportional to 150,896.25 and 326,295 is: 705,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,896.25 : 326,295 = 326,295 : x
  2. Step 2: Convert to fraction form
    150,896.25/326,295 = 326,295/x
  3. Step 3: Cross multiply
    150,896.25x = 326,295 × 326,295
  4. Step 4: Simplify right side
    150,896.25x = 106,468,427,025
  5. Step 5: Solve for x
    x = 106,468,427,025/150,896.25
  6. Step 6: Final answer
    x = 705,573.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.