Finding the Third Proportional to 171,216 and 263,304
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Solution
The third proportional to 171,216 and 263,304 is: 404,921.25
Step by Step Solution
- Step 1: Write the proportion equation
171,216 : 263,304 = 263,304 : x - Step 2: Convert to fraction form
171,216/263,304 = 263,304/x - Step 3: Cross multiply
171,216x = 263,304 × 263,304 - Step 4: Simplify right side
171,216x = 69,328,996,416 - Step 5: Solve for x
x = 69,328,996,416/171,216 - Step 6: Final answer
x = 404,921.25
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.