Finding the Third Proportional to 176 and 317.50
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Solution
The third proportional to 176 and 317.50 is: 572.76
Step by Step Solution
- Step 1: Write the proportion equation
176 : 317.50 = 317.50 : x - Step 2: Convert to fraction form
176/317.50 = 317.50/x - Step 3: Cross multiply
176x = 317.50 × 317.50 - Step 4: Simplify right side
176x = 100,806.25 - Step 5: Solve for x
x = 100,806.25/176 - Step 6: Final answer
x = 572.76
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.