Finding the Third Proportional to 147,140 and 233,148
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Solution
The third proportional to 147,140 and 233,148 is: 369,430.41
Step by Step Solution
- Step 1: Write the proportion equation
147,140 : 233,148 = 233,148 : x - Step 2: Convert to fraction form
147,140/233,148 = 233,148/x - Step 3: Cross multiply
147,140x = 233,148 × 233,148 - Step 4: Simplify right side
147,140x = 54,357,989,904 - Step 5: Solve for x
x = 54,357,989,904/147,140 - Step 6: Final answer
x = 369,430.41
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.