Finding the Third Proportional to 237,616 and 314,086
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Solution
The third proportional to 237,616 and 314,086 is: 415,165.71
Step by Step Solution
- Step 1: Write the proportion equation
237,616 : 314,086 = 314,086 : x - Step 2: Convert to fraction form
237,616/314,086 = 314,086/x - Step 3: Cross multiply
237,616x = 314,086 × 314,086 - Step 4: Simplify right side
237,616x = 98,650,015,396 - Step 5: Solve for x
x = 98,650,015,396/237,616 - Step 6: Final answer
x = 415,165.71
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.