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Finding the Third Proportional to 105,193 and 226,424

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Solution

The third proportional to 105,193 and 226,424 is: 487,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,193 : 226,424 = 226,424 : x
  2. Step 2: Convert to fraction form
    105,193/226,424 = 226,424/x
  3. Step 3: Cross multiply
    105,193x = 226,424 × 226,424
  4. Step 4: Simplify right side
    105,193x = 51,267,827,776
  5. Step 5: Solve for x
    x = 51,267,827,776/105,193
  6. Step 6: Final answer
    x = 487,369.20

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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.