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Finding the Third Proportional to 108,384 and 228,576

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Solution

The third proportional to 108,384 and 228,576 is: 482,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,384 : 228,576 = 228,576 : x
  2. Step 2: Convert to fraction form
    108,384/228,576 = 228,576/x
  3. Step 3: Cross multiply
    108,384x = 228,576 × 228,576
  4. Step 4: Simplify right side
    108,384x = 52,246,987,776
  5. Step 5: Solve for x
    x = 52,246,987,776/108,384
  6. Step 6: Final answer
    x = 482,054.43

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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.