Finding the Third Proportional to 238,090 and 508,470
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Solution
The third proportional to 238,090 and 508,470 is: 1,085,899.20
Step by Step Solution
- Step 1: Write the proportion equation
238,090 : 508,470 = 508,470 : x - Step 2: Convert to fraction form
238,090/508,470 = 508,470/x - Step 3: Cross multiply
238,090x = 508,470 × 508,470 - Step 4: Simplify right side
238,090x = 258,541,740,900 - Step 5: Solve for x
x = 258,541,740,900/238,090 - Step 6: Final answer
x = 1,085,899.20
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.