Finding the Third Proportional to 204,046 and 286,831.50
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Solution
The third proportional to 204,046 and 286,831.50 is: 403,204.72
Step by Step Solution
- Step 1: Write the proportion equation
204,046 : 286,831.50 = 286,831.50 : x - Step 2: Convert to fraction form
204,046/286,831.50 = 286,831.50/x - Step 3: Cross multiply
204,046x = 286,831.50 × 286,831.50 - Step 4: Simplify right side
204,046x = 82,272,309,392.25 - Step 5: Solve for x
x = 82,272,309,392.25/204,046 - Step 6: Final answer
x = 403,204.72
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.