Finding the Third Proportional to 142,200 and 301,896
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Solution
The third proportional to 142,200 and 301,896 is: 640,936.67
Step by Step Solution
- Step 1: Write the proportion equation
142,200 : 301,896 = 301,896 : x - Step 2: Convert to fraction form
142,200/301,896 = 301,896/x - Step 3: Cross multiply
142,200x = 301,896 × 301,896 - Step 4: Simplify right side
142,200x = 91,141,194,816 - Step 5: Solve for x
x = 91,141,194,816/142,200 - Step 6: Final answer
x = 640,936.67
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.