Finding the Third Proportional to 203,102 and 316,221
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Solution
The third proportional to 203,102 and 316,221 is: 492,342.37
Step by Step Solution
- Step 1: Write the proportion equation
203,102 : 316,221 = 316,221 : x - Step 2: Convert to fraction form
203,102/316,221 = 316,221/x - Step 3: Cross multiply
203,102x = 316,221 × 316,221 - Step 4: Simplify right side
203,102x = 99,995,720,841 - Step 5: Solve for x
x = 99,995,720,841/203,102 - Step 6: Final answer
x = 492,342.37
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.