Finding the Third Proportional to 257 and 279.50
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Solution
The third proportional to 257 and 279.50 is: 303.97
Step by Step Solution
- Step 1: Write the proportion equation
257 : 279.50 = 279.50 : x - Step 2: Convert to fraction form
257/279.50 = 279.50/x - Step 3: Cross multiply
257x = 279.50 × 279.50 - Step 4: Simplify right side
257x = 78,120.25 - Step 5: Solve for x
x = 78,120.25/257 - Step 6: Final answer
x = 303.97
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.