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Finding the Third Proportional to 150,164 and 326,458

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Solution

The third proportional to 150,164 and 326,458 is: 709,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,164 : 326,458 = 326,458 : x
  2. Step 2: Convert to fraction form
    150,164/326,458 = 326,458/x
  3. Step 3: Cross multiply
    150,164x = 326,458 × 326,458
  4. Step 4: Simplify right side
    150,164x = 106,574,825,764
  5. Step 5: Solve for x
    x = 106,574,825,764/150,164
  6. Step 6: Final answer
    x = 709,722.87

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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.