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Finding the Third Proportional to 149,328 and 324,896

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Solution

The third proportional to 149,328 and 324,896 is: 706,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 324,896 = 324,896 : x
  2. Step 2: Convert to fraction form
    149,328/324,896 = 324,896/x
  3. Step 3: Cross multiply
    149,328x = 324,896 × 324,896
  4. Step 4: Simplify right side
    149,328x = 105,557,410,816
  5. Step 5: Solve for x
    x = 105,557,410,816/149,328
  6. Step 6: Final answer
    x = 706,882.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.