Finding the Third Proportional to 146,014.50 and 316,815
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Solution
The third proportional to 146,014.50 and 316,815 is: 687,409.43
Step by Step Solution
- Step 1: Write the proportion equation
146,014.50 : 316,815 = 316,815 : x - Step 2: Convert to fraction form
146,014.50/316,815 = 316,815/x - Step 3: Cross multiply
146,014.50x = 316,815 × 316,815 - Step 4: Simplify right side
146,014.50x = 100,371,744,225 - Step 5: Solve for x
x = 100,371,744,225/146,014.50 - Step 6: Final answer
x = 687,409.43
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.