Finding the Third Proportional to 235,164 and 507,498
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Solution
The third proportional to 235,164 and 507,498 is: 1,095,211.09
Step by Step Solution
- Step 1: Write the proportion equation
235,164 : 507,498 = 507,498 : x - Step 2: Convert to fraction form
235,164/507,498 = 507,498/x - Step 3: Cross multiply
235,164x = 507,498 × 507,498 - Step 4: Simplify right side
235,164x = 257,554,220,004 - Step 5: Solve for x
x = 257,554,220,004/235,164 - Step 6: Final answer
x = 1,095,211.09
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.