Finding the Third Proportional to 143 and 178.75
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Solution
The third proportional to 143 and 178.75 is: 223.44
Step by Step Solution
- Step 1: Write the proportion equation
143 : 178.75 = 178.75 : x - Step 2: Convert to fraction form
143/178.75 = 178.75/x - Step 3: Cross multiply
143x = 178.75 × 178.75 - Step 4: Simplify right side
143x = 31,951.56 - Step 5: Solve for x
x = 31,951.56/143 - Step 6: Final answer
x = 223.44
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.