Finding the Third Proportional to 242 and 430.50
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Solution
The third proportional to 242 and 430.50 is: 765.83
Step by Step Solution
- Step 1: Write the proportion equation
242 : 430.50 = 430.50 : x - Step 2: Convert to fraction form
242/430.50 = 430.50/x - Step 3: Cross multiply
242x = 430.50 × 430.50 - Step 4: Simplify right side
242x = 185,330.25 - Step 5: Solve for x
x = 185,330.25/242 - Step 6: Final answer
x = 765.83
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.