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Finding the Third Proportional to 105,612 and 229,512

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Solution

The third proportional to 105,612 and 229,512 is: 498,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612 : 229,512 = 229,512 : x
  2. Step 2: Convert to fraction form
    105,612/229,512 = 229,512/x
  3. Step 3: Cross multiply
    105,612x = 229,512 × 229,512
  4. Step 4: Simplify right side
    105,612x = 52,675,758,144
  5. Step 5: Solve for x
    x = 52,675,758,144/105,612
  6. Step 6: Final answer
    x = 498,766.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.