Finding the Third Proportional to 208,136 and 309,900
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Solution
The third proportional to 208,136 and 309,900 is: 461,419.50
Step by Step Solution
- Step 1: Write the proportion equation
208,136 : 309,900 = 309,900 : x - Step 2: Convert to fraction form
208,136/309,900 = 309,900/x - Step 3: Cross multiply
208,136x = 309,900 × 309,900 - Step 4: Simplify right side
208,136x = 96,038,010,000 - Step 5: Solve for x
x = 96,038,010,000/208,136 - Step 6: Final answer
x = 461,419.50
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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.