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Finding the Third Proportional to 105,635 and 234,883

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Solution

The third proportional to 105,635 and 234,883 is: 522,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,635 : 234,883 = 234,883 : x
  2. Step 2: Convert to fraction form
    105,635/234,883 = 234,883/x
  3. Step 3: Cross multiply
    105,635x = 234,883 × 234,883
  4. Step 4: Simplify right side
    105,635x = 55,170,023,689
  5. Step 5: Solve for x
    x = 55,170,023,689/105,635
  6. Step 6: Final answer
    x = 522,270.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.