Finding the Third Proportional to 137,978 and 301,786
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Solution
The third proportional to 137,978 and 301,786 is: 660,067.47
Step by Step Solution
- Step 1: Write the proportion equation
137,978 : 301,786 = 301,786 : x - Step 2: Convert to fraction form
137,978/301,786 = 301,786/x - Step 3: Cross multiply
137,978x = 301,786 × 301,786 - Step 4: Simplify right side
137,978x = 91,074,789,796 - Step 5: Solve for x
x = 91,074,789,796/137,978 - Step 6: Final answer
x = 660,067.47
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.