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Finding the Third Proportional to 112,198 and 245,456

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Solution

The third proportional to 112,198 and 245,456 is: 536,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,198 : 245,456 = 245,456 : x
  2. Step 2: Convert to fraction form
    112,198/245,456 = 245,456/x
  3. Step 3: Cross multiply
    112,198x = 245,456 × 245,456
  4. Step 4: Simplify right side
    112,198x = 60,248,647,936
  5. Step 5: Solve for x
    x = 60,248,647,936/112,198
  6. Step 6: Final answer
    x = 536,985.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.