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Finding the Third Proportional to 150,364 and 324,236

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Solution

The third proportional to 150,364 and 324,236 is: 699,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,364 : 324,236 = 324,236 : x
  2. Step 2: Convert to fraction form
    150,364/324,236 = 324,236/x
  3. Step 3: Cross multiply
    150,364x = 324,236 × 324,236
  4. Step 4: Simplify right side
    150,364x = 105,128,983,696
  5. Step 5: Solve for x
    x = 105,128,983,696/150,364
  6. Step 6: Final answer
    x = 699,163.26

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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.