Finding the Third Proportional to 174 and 470
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Solution
The third proportional to 174 and 470 is: 1,269.54
Step by Step Solution
- Step 1: Write the proportion equation
174 : 470 = 470 : x - Step 2: Convert to fraction form
174/470 = 470/x - Step 3: Cross multiply
174x = 470 × 470 - Step 4: Simplify right side
174x = 220,900 - Step 5: Solve for x
x = 220,900/174 - Step 6: Final answer
x = 1,269.54
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.