Finding the Third Proportional to 215,869.50 and 458,046
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Solution
The third proportional to 215,869.50 and 458,046 is: 971,911.91
Step by Step Solution
- Step 1: Write the proportion equation
215,869.50 : 458,046 = 458,046 : x - Step 2: Convert to fraction form
215,869.50/458,046 = 458,046/x - Step 3: Cross multiply
215,869.50x = 458,046 × 458,046 - Step 4: Simplify right side
215,869.50x = 209,806,138,116 - Step 5: Solve for x
x = 209,806,138,116/215,869.50 - Step 6: Final answer
x = 971,911.91
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.