Finding the Third Proportional to 135,268 and 194,840
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Solution
The third proportional to 135,268 and 194,840 is: 280,647.50
Step by Step Solution
- Step 1: Write the proportion equation
135,268 : 194,840 = 194,840 : x - Step 2: Convert to fraction form
135,268/194,840 = 194,840/x - Step 3: Cross multiply
135,268x = 194,840 × 194,840 - Step 4: Simplify right side
135,268x = 37,962,625,600 - Step 5: Solve for x
x = 37,962,625,600/135,268 - Step 6: Final answer
x = 280,647.50
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.