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Finding the Third Proportional to 108,573 and 228,810

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Solution

The third proportional to 108,573 and 228,810 is: 482,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,573 : 228,810 = 228,810 : x
  2. Step 2: Convert to fraction form
    108,573/228,810 = 228,810/x
  3. Step 3: Cross multiply
    108,573x = 228,810 × 228,810
  4. Step 4: Simplify right side
    108,573x = 52,354,016,100
  5. Step 5: Solve for x
    x = 52,354,016,100/108,573
  6. Step 6: Final answer
    x = 482,201.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.