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Finding the Third Proportional to 108,576 and 228,816

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Solution

The third proportional to 108,576 and 228,816 is: 482,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,576 : 228,816 = 228,816 : x
  2. Step 2: Convert to fraction form
    108,576/228,816 = 228,816/x
  3. Step 3: Cross multiply
    108,576x = 228,816 × 228,816
  4. Step 4: Simplify right side
    108,576x = 52,356,761,856
  5. Step 5: Solve for x
    x = 52,356,761,856/108,576
  6. Step 6: Final answer
    x = 482,213.03

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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.