Finding the Third Proportional to 204,020 and 286,795.50
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Solution
The third proportional to 204,020 and 286,795.50 is: 403,154.88
Step by Step Solution
- Step 1: Write the proportion equation
204,020 : 286,795.50 = 286,795.50 : x - Step 2: Convert to fraction form
204,020/286,795.50 = 286,795.50/x - Step 3: Cross multiply
204,020x = 286,795.50 × 286,795.50 - Step 4: Simplify right side
204,020x = 82,251,658,820.25 - Step 5: Solve for x
x = 82,251,658,820.25/204,020 - Step 6: Final answer
x = 403,154.88
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.