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Finding the Third Proportional to 105,198 and 227,346

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Solution

The third proportional to 105,198 and 227,346 is: 491,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,198 : 227,346 = 227,346 : x
  2. Step 2: Convert to fraction form
    105,198/227,346 = 227,346/x
  3. Step 3: Cross multiply
    105,198x = 227,346 × 227,346
  4. Step 4: Simplify right side
    105,198x = 51,686,203,716
  5. Step 5: Solve for x
    x = 51,686,203,716/105,198
  6. Step 6: Final answer
    x = 491,323.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.