Finding the Third Proportional to 288 and 327.50
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Solution
The third proportional to 288 and 327.50 is: 372.42
Step by Step Solution
- Step 1: Write the proportion equation
288 : 327.50 = 327.50 : x - Step 2: Convert to fraction form
288/327.50 = 327.50/x - Step 3: Cross multiply
288x = 327.50 × 327.50 - Step 4: Simplify right side
288x = 107,256.25 - Step 5: Solve for x
x = 107,256.25/288 - Step 6: Final answer
x = 372.42
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.