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Finding the Third Proportional to 121,241 and 263,468

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Solution

The third proportional to 121,241 and 263,468 is: 572,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,241 : 263,468 = 263,468 : x
  2. Step 2: Convert to fraction form
    121,241/263,468 = 263,468/x
  3. Step 3: Cross multiply
    121,241x = 263,468 × 263,468
  4. Step 4: Simplify right side
    121,241x = 69,415,387,024
  5. Step 5: Solve for x
    x = 69,415,387,024/121,241
  6. Step 6: Final answer
    x = 572,540.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.