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Finding the Third Proportional to 105,869 and 226,282

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Solution

The third proportional to 105,869 and 226,282 is: 483,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,869 : 226,282 = 226,282 : x
  2. Step 2: Convert to fraction form
    105,869/226,282 = 226,282/x
  3. Step 3: Cross multiply
    105,869x = 226,282 × 226,282
  4. Step 4: Simplify right side
    105,869x = 51,203,543,524
  5. Step 5: Solve for x
    x = 51,203,543,524/105,869
  6. Step 6: Final answer
    x = 483,650.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.