Finding the Third Proportional to 193,323 and 424,470
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Solution
The third proportional to 193,323 and 424,470 is: 931,988.34
Step by Step Solution
- Step 1: Write the proportion equation
193,323 : 424,470 = 424,470 : x - Step 2: Convert to fraction form
193,323/424,470 = 424,470/x - Step 3: Cross multiply
193,323x = 424,470 × 424,470 - Step 4: Simplify right side
193,323x = 180,174,780,900 - Step 5: Solve for x
x = 180,174,780,900/193,323 - Step 6: Final answer
x = 931,988.34
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.