Finding the Third Proportional to 202,564 and 442,500
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Solution
The third proportional to 202,564 and 442,500 is: 966,638.94
Step by Step Solution
- Step 1: Write the proportion equation
202,564 : 442,500 = 442,500 : x - Step 2: Convert to fraction form
202,564/442,500 = 442,500/x - Step 3: Cross multiply
202,564x = 442,500 × 442,500 - Step 4: Simplify right side
202,564x = 195,806,250,000 - Step 5: Solve for x
x = 195,806,250,000/202,564 - Step 6: Final answer
x = 966,638.94
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.