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Finding the Third Proportional to 150,159 and 326,277

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Solution

The third proportional to 150,159 and 326,277 is: 708,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,159 : 326,277 = 326,277 : x
  2. Step 2: Convert to fraction form
    150,159/326,277 = 326,277/x
  3. Step 3: Cross multiply
    150,159x = 326,277 × 326,277
  4. Step 4: Simplify right side
    150,159x = 106,456,680,729
  5. Step 5: Solve for x
    x = 106,456,680,729/150,159
  6. Step 6: Final answer
    x = 708,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.