Finding the Third Proportional to 208,136 and 490,772
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Solution
The third proportional to 208,136 and 490,772 is: 1,157,210.46
Step by Step Solution
- Step 1: Write the proportion equation
208,136 : 490,772 = 490,772 : x - Step 2: Convert to fraction form
208,136/490,772 = 490,772/x - Step 3: Cross multiply
208,136x = 490,772 × 490,772 - Step 4: Simplify right side
208,136x = 240,857,155,984 - Step 5: Solve for x
x = 240,857,155,984/208,136 - Step 6: Final answer
x = 1,157,210.46
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.