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Finding the Third Proportional to 110,047 and 228,704

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Solution

The third proportional to 110,047 and 228,704 is: 475,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,047 : 228,704 = 228,704 : x
  2. Step 2: Convert to fraction form
    110,047/228,704 = 228,704/x
  3. Step 3: Cross multiply
    110,047x = 228,704 × 228,704
  4. Step 4: Simplify right side
    110,047x = 52,305,519,616
  5. Step 5: Solve for x
    x = 52,305,519,616/110,047
  6. Step 6: Final answer
    x = 475,301.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.