Finding the Third Proportional to 205,988.50 and 318,784
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Solution
The third proportional to 205,988.50 and 318,784 is: 493,344.23
Step by Step Solution
- Step 1: Write the proportion equation
205,988.50 : 318,784 = 318,784 : x - Step 2: Convert to fraction form
205,988.50/318,784 = 318,784/x - Step 3: Cross multiply
205,988.50x = 318,784 × 318,784 - Step 4: Simplify right side
205,988.50x = 101,623,238,656 - Step 5: Solve for x
x = 101,623,238,656/205,988.50 - Step 6: Final answer
x = 493,344.23
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.