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Finding the Third Proportional to 108,476 and 228,616

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Solution

The third proportional to 108,476 and 228,616 is: 481,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,476 : 228,616 = 228,616 : x
  2. Step 2: Convert to fraction form
    108,476/228,616 = 228,616/x
  3. Step 3: Cross multiply
    108,476x = 228,616 × 228,616
  4. Step 4: Simplify right side
    108,476x = 52,265,275,456
  5. Step 5: Solve for x
    x = 52,265,275,456/108,476
  6. Step 6: Final answer
    x = 481,814.18

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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.