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Finding the Third Proportional to 121,198 and 248,411

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Solution

The third proportional to 121,198 and 248,411 is: 509,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,198 : 248,411 = 248,411 : x
  2. Step 2: Convert to fraction form
    121,198/248,411 = 248,411/x
  3. Step 3: Cross multiply
    121,198x = 248,411 × 248,411
  4. Step 4: Simplify right side
    121,198x = 61,708,024,921
  5. Step 5: Solve for x
    x = 61,708,024,921/121,198
  6. Step 6: Final answer
    x = 509,150.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.