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Finding the Third Proportional to 150,257 and 326,596

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Solution

The third proportional to 150,257 and 326,596 is: 709,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,257 : 326,596 = 326,596 : x
  2. Step 2: Convert to fraction form
    150,257/326,596 = 326,596/x
  3. Step 3: Cross multiply
    150,257x = 326,596 × 326,596
  4. Step 4: Simplify right side
    150,257x = 106,664,947,216
  5. Step 5: Solve for x
    x = 106,664,947,216/150,257
  6. Step 6: Final answer
    x = 709,883.38

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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.