Finding the Third Proportional to 210 and 412.50
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Solution
The third proportional to 210 and 412.50 is: 810.27
Step by Step Solution
- Step 1: Write the proportion equation
210 : 412.50 = 412.50 : x - Step 2: Convert to fraction form
210/412.50 = 412.50/x - Step 3: Cross multiply
210x = 412.50 × 412.50 - Step 4: Simplify right side
210x = 170,156.25 - Step 5: Solve for x
x = 170,156.25/210 - Step 6: Final answer
x = 810.27
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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.