Finding the Third Proportional to 294 and 313.50
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Solution
The third proportional to 294 and 313.50 is: 334.29
Step by Step Solution
- Step 1: Write the proportion equation
294 : 313.50 = 313.50 : x - Step 2: Convert to fraction form
294/313.50 = 313.50/x - Step 3: Cross multiply
294x = 313.50 × 313.50 - Step 4: Simplify right side
294x = 98,282.25 - Step 5: Solve for x
x = 98,282.25/294 - Step 6: Final answer
x = 334.29
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.