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Finding the Third Proportional to 105,198 and 226,434

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Solution

The third proportional to 105,198 and 226,434 is: 487,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,198 : 226,434 = 226,434 : x
  2. Step 2: Convert to fraction form
    105,198/226,434 = 226,434/x
  3. Step 3: Cross multiply
    105,198x = 226,434 × 226,434
  4. Step 4: Simplify right side
    105,198x = 51,272,356,356
  5. Step 5: Solve for x
    x = 51,272,356,356/105,198
  6. Step 6: Final answer
    x = 487,389.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.