Finding the Third Proportional to 105,454.50 and 226,912
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Solution
The third proportional to 105,454.50 and 226,912 is: 488,258.50
Step by Step Solution
- Step 1: Write the proportion equation
105,454.50 : 226,912 = 226,912 : x - Step 2: Convert to fraction form
105,454.50/226,912 = 226,912/x - Step 3: Cross multiply
105,454.50x = 226,912 × 226,912 - Step 4: Simplify right side
105,454.50x = 51,489,055,744 - Step 5: Solve for x
x = 51,489,055,744/105,454.50 - Step 6: Final answer
x = 488,258.50
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.