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Finding the Third Proportional to 108,623 and 227,629

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Solution

The third proportional to 108,623 and 227,629 is: 477,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,623 : 227,629 = 227,629 : x
  2. Step 2: Convert to fraction form
    108,623/227,629 = 227,629/x
  3. Step 3: Cross multiply
    108,623x = 227,629 × 227,629
  4. Step 4: Simplify right side
    108,623x = 51,814,961,641
  5. Step 5: Solve for x
    x = 51,814,961,641/108,623
  6. Step 6: Final answer
    x = 477,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.