Finding the Third Proportional to 242,748 and 497,160
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Solution
The third proportional to 242,748 and 497,160 is: 1,018,208.45
Step by Step Solution
- Step 1: Write the proportion equation
242,748 : 497,160 = 497,160 : x - Step 2: Convert to fraction form
242,748/497,160 = 497,160/x - Step 3: Cross multiply
242,748x = 497,160 × 497,160 - Step 4: Simplify right side
242,748x = 247,168,065,600 - Step 5: Solve for x
x = 247,168,065,600/242,748 - Step 6: Final answer
x = 1,018,208.45
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.