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Finding the Third Proportional to 107,194 and 228,627

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Solution

The third proportional to 107,194 and 228,627 is: 487,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,194 : 228,627 = 228,627 : x
  2. Step 2: Convert to fraction form
    107,194/228,627 = 228,627/x
  3. Step 3: Cross multiply
    107,194x = 228,627 × 228,627
  4. Step 4: Simplify right side
    107,194x = 52,270,305,129
  5. Step 5: Solve for x
    x = 52,270,305,129/107,194
  6. Step 6: Final answer
    x = 487,623.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.