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Finding the Third Proportional to 108,004 and 220,328

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Solution

The third proportional to 108,004 and 220,328 is: 449,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,004 : 220,328 = 220,328 : x
  2. Step 2: Convert to fraction form
    108,004/220,328 = 220,328/x
  3. Step 3: Cross multiply
    108,004x = 220,328 × 220,328
  4. Step 4: Simplify right side
    108,004x = 48,544,427,584
  5. Step 5: Solve for x
    x = 48,544,427,584/108,004
  6. Step 6: Final answer
    x = 449,468.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.