Finding the Third Proportional to 208,820 and 316,146
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Solution
The third proportional to 208,820 and 316,146 is: 478,633.72
Step by Step Solution
- Step 1: Write the proportion equation
208,820 : 316,146 = 316,146 : x - Step 2: Convert to fraction form
208,820/316,146 = 316,146/x - Step 3: Cross multiply
208,820x = 316,146 × 316,146 - Step 4: Simplify right side
208,820x = 99,948,293,316 - Step 5: Solve for x
x = 99,948,293,316/208,820 - Step 6: Final answer
x = 478,633.72
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.