Finding the Third Proportional to 141.50 and 243.50
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Solution
The third proportional to 141.50 and 243.50 is: 419.03
Step by Step Solution
- Step 1: Write the proportion equation
141.50 : 243.50 = 243.50 : x - Step 2: Convert to fraction form
141.50/243.50 = 243.50/x - Step 3: Cross multiply
141.50x = 243.50 × 243.50 - Step 4: Simplify right side
141.50x = 59,292.25 - Step 5: Solve for x
x = 59,292.25/141.50 - Step 6: Final answer
x = 419.03
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.