Finding the Third Proportional to 218,730 and 312,784
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Solution
The third proportional to 218,730 and 312,784 is: 447,281.26
Step by Step Solution
- Step 1: Write the proportion equation
218,730 : 312,784 = 312,784 : x - Step 2: Convert to fraction form
218,730/312,784 = 312,784/x - Step 3: Cross multiply
218,730x = 312,784 × 312,784 - Step 4: Simplify right side
218,730x = 97,833,830,656 - Step 5: Solve for x
x = 97,833,830,656/218,730 - Step 6: Final answer
x = 447,281.26
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.