Finding the Third Proportional to 296,096 and 442,170
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Solution
The third proportional to 296,096 and 442,170 is: 660,307.16
Step by Step Solution
- Step 1: Write the proportion equation
296,096 : 442,170 = 442,170 : x - Step 2: Convert to fraction form
296,096/442,170 = 442,170/x - Step 3: Cross multiply
296,096x = 442,170 × 442,170 - Step 4: Simplify right side
296,096x = 195,514,308,900 - Step 5: Solve for x
x = 195,514,308,900/296,096 - Step 6: Final answer
x = 660,307.16
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.