Finding the Third Proportional to 210,103 and 315,743
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Solution
The third proportional to 210,103 and 315,743 is: 474,498.90
Step by Step Solution
- Step 1: Write the proportion equation
210,103 : 315,743 = 315,743 : x - Step 2: Convert to fraction form
210,103/315,743 = 315,743/x - Step 3: Cross multiply
210,103x = 315,743 × 315,743 - Step 4: Simplify right side
210,103x = 99,693,642,049 - Step 5: Solve for x
x = 99,693,642,049/210,103 - Step 6: Final answer
x = 474,498.90
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.