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Finding the Third Proportional to 103,627 and 214,625

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Solution

The third proportional to 103,627 and 214,625 is: 444,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627 : 214,625 = 214,625 : x
  2. Step 2: Convert to fraction form
    103,627/214,625 = 214,625/x
  3. Step 3: Cross multiply
    103,627x = 214,625 × 214,625
  4. Step 4: Simplify right side
    103,627x = 46,063,890,625
  5. Step 5: Solve for x
    x = 46,063,890,625/103,627
  6. Step 6: Final answer
    x = 444,516.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.