Finding the Third Proportional to 322 and 346
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Solution
The third proportional to 322 and 346 is: 371.79
Step by Step Solution
- Step 1: Write the proportion equation
322 : 346 = 346 : x - Step 2: Convert to fraction form
322/346 = 346/x - Step 3: Cross multiply
322x = 346 × 346 - Step 4: Simplify right side
322x = 119,716 - Step 5: Solve for x
x = 119,716/322 - Step 6: Final answer
x = 371.79
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.