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Finding the Third Proportional to 105,234 and 223,611

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Solution

The third proportional to 105,234 and 223,611 is: 475,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234 : 223,611 = 223,611 : x
  2. Step 2: Convert to fraction form
    105,234/223,611 = 223,611/x
  3. Step 3: Cross multiply
    105,234x = 223,611 × 223,611
  4. Step 4: Simplify right side
    105,234x = 50,001,879,321
  5. Step 5: Solve for x
    x = 50,001,879,321/105,234
  6. Step 6: Final answer
    x = 475,149.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.