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Finding the Third Proportional to 108,482 and 228,628

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Solution

The third proportional to 108,482 and 228,628 is: 481,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,482 : 228,628 = 228,628 : x
  2. Step 2: Convert to fraction form
    108,482/228,628 = 228,628/x
  3. Step 3: Cross multiply
    108,482x = 228,628 × 228,628
  4. Step 4: Simplify right side
    108,482x = 52,270,762,384
  5. Step 5: Solve for x
    x = 52,270,762,384/108,482
  6. Step 6: Final answer
    x = 481,838.11

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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.