Finding the Third Proportional to 132,772.50 and 286,746.75
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Solution
The third proportional to 132,772.50 and 286,746.75 is: 619,282.60
Step by Step Solution
- Step 1: Write the proportion equation
132,772.50 : 286,746.75 = 286,746.75 : x - Step 2: Convert to fraction form
132,772.50/286,746.75 = 286,746.75/x - Step 3: Cross multiply
132,772.50x = 286,746.75 × 286,746.75 - Step 4: Simplify right side
132,772.50x = 82,223,698,635.56 - Step 5: Solve for x
x = 82,223,698,635.56/132,772.50 - Step 6: Final answer
x = 619,282.60
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.