Finding the Third Proportional to 217,512 and 319,080
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Solution
The third proportional to 217,512 and 319,080 is: 468,075.54
Step by Step Solution
- Step 1: Write the proportion equation
217,512 : 319,080 = 319,080 : x - Step 2: Convert to fraction form
217,512/319,080 = 319,080/x - Step 3: Cross multiply
217,512x = 319,080 × 319,080 - Step 4: Simplify right side
217,512x = 101,812,046,400 - Step 5: Solve for x
x = 101,812,046,400/217,512 - Step 6: Final answer
x = 468,075.54
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.