Finding the Third Proportional to 246 and 320.50
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Solution
The third proportional to 246 and 320.50 is: 417.56
Step by Step Solution
- Step 1: Write the proportion equation
246 : 320.50 = 320.50 : x - Step 2: Convert to fraction form
246/320.50 = 320.50/x - Step 3: Cross multiply
246x = 320.50 × 320.50 - Step 4: Simplify right side
246x = 102,720.25 - Step 5: Solve for x
x = 102,720.25/246 - Step 6: Final answer
x = 417.56
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.