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Finding the Third Proportional to 110,774 and 228,052

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Solution

The third proportional to 110,774 and 228,052 is: 469,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,774 : 228,052 = 228,052 : x
  2. Step 2: Convert to fraction form
    110,774/228,052 = 228,052/x
  3. Step 3: Cross multiply
    110,774x = 228,052 × 228,052
  4. Step 4: Simplify right side
    110,774x = 52,007,714,704
  5. Step 5: Solve for x
    x = 52,007,714,704/110,774
  6. Step 6: Final answer
    x = 469,493.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.