Finding the Third Proportional to 152 and 254.50
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Solution
The third proportional to 152 and 254.50 is: 426.12
Step by Step Solution
- Step 1: Write the proportion equation
152 : 254.50 = 254.50 : x - Step 2: Convert to fraction form
152/254.50 = 254.50/x - Step 3: Cross multiply
152x = 254.50 × 254.50 - Step 4: Simplify right side
152x = 64,770.25 - Step 5: Solve for x
x = 64,770.25/152 - Step 6: Final answer
x = 426.12
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.