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Finding the Third Proportional to 103,628 and 214,627

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Solution

The third proportional to 103,628 and 214,627 is: 444,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 214,627 = 214,627 : x
  2. Step 2: Convert to fraction form
    103,628/214,627 = 214,627/x
  3. Step 3: Cross multiply
    103,628x = 214,627 × 214,627
  4. Step 4: Simplify right side
    103,628x = 46,064,749,129
  5. Step 5: Solve for x
    x = 46,064,749,129/103,628
  6. Step 6: Final answer
    x = 444,520.29

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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.