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Finding the Third Proportional to 121,191 and 261,741

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Solution

The third proportional to 121,191 and 261,741 is: 565,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,191 : 261,741 = 261,741 : x
  2. Step 2: Convert to fraction form
    121,191/261,741 = 261,741/x
  3. Step 3: Cross multiply
    121,191x = 261,741 × 261,741
  4. Step 4: Simplify right side
    121,191x = 68,508,351,081
  5. Step 5: Solve for x
    x = 68,508,351,081/121,191
  6. Step 6: Final answer
    x = 565,292.40

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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.