Finding the Third Proportional to 312 and 610.50
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Solution
The third proportional to 312 and 610.50 is: 1,194.58
Step by Step Solution
- Step 1: Write the proportion equation
312 : 610.50 = 610.50 : x - Step 2: Convert to fraction form
312/610.50 = 610.50/x - Step 3: Cross multiply
312x = 610.50 × 610.50 - Step 4: Simplify right side
312x = 372,710.25 - Step 5: Solve for x
x = 372,710.25/312 - Step 6: Final answer
x = 1,194.58
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.