Finding the Third Proportional to 205,216 and 310,548
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Solution
The third proportional to 205,216 and 310,548 is: 469,944.16
Step by Step Solution
- Step 1: Write the proportion equation
205,216 : 310,548 = 310,548 : x - Step 2: Convert to fraction form
205,216/310,548 = 310,548/x - Step 3: Cross multiply
205,216x = 310,548 × 310,548 - Step 4: Simplify right side
205,216x = 96,440,060,304 - Step 5: Solve for x
x = 96,440,060,304/205,216 - Step 6: Final answer
x = 469,944.16
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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.