Finding the Third Proportional to 170 and 294
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Solution
The third proportional to 170 and 294 is: 508.45
Step by Step Solution
- Step 1: Write the proportion equation
170 : 294 = 294 : x - Step 2: Convert to fraction form
170/294 = 294/x - Step 3: Cross multiply
170x = 294 × 294 - Step 4: Simplify right side
170x = 86,436 - Step 5: Solve for x
x = 86,436/170 - Step 6: Final answer
x = 508.45
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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.