Finding the Third Proportional to 312 and 370
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Solution
The third proportional to 312 and 370 is: 438.78
Step by Step Solution
- Step 1: Write the proportion equation
312 : 370 = 370 : x - Step 2: Convert to fraction form
312/370 = 370/x - Step 3: Cross multiply
312x = 370 × 370 - Step 4: Simplify right side
312x = 136,900 - Step 5: Solve for x
x = 136,900/312 - Step 6: Final answer
x = 438.78
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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.