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Finding the Third Proportional to 107,629 and 234,635

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Solution

The third proportional to 107,629 and 234,635 is: 511,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,629 : 234,635 = 234,635 : x
  2. Step 2: Convert to fraction form
    107,629/234,635 = 234,635/x
  3. Step 3: Cross multiply
    107,629x = 234,635 × 234,635
  4. Step 4: Simplify right side
    107,629x = 55,053,583,225
  5. Step 5: Solve for x
    x = 55,053,583,225/107,629
  6. Step 6: Final answer
    x = 511,512.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.