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Finding the Third Proportional to 104,863 and 228,157

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Solution

The third proportional to 104,863 and 228,157 is: 496,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,863 : 228,157 = 228,157 : x
  2. Step 2: Convert to fraction form
    104,863/228,157 = 228,157/x
  3. Step 3: Cross multiply
    104,863x = 228,157 × 228,157
  4. Step 4: Simplify right side
    104,863x = 52,055,616,649
  5. Step 5: Solve for x
    x = 52,055,616,649/104,863
  6. Step 6: Final answer
    x = 496,415.48

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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.