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Finding the Third Proportional to 107,627 and 234,631

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Solution

The third proportional to 107,627 and 234,631 is: 511,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,627 : 234,631 = 234,631 : x
  2. Step 2: Convert to fraction form
    107,627/234,631 = 234,631/x
  3. Step 3: Cross multiply
    107,627x = 234,631 × 234,631
  4. Step 4: Simplify right side
    107,627x = 55,051,706,161
  5. Step 5: Solve for x
    x = 55,051,706,161/107,627
  6. Step 6: Final answer
    x = 511,504.61

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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.