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Finding the Third Proportional to 108,284 and 228,416

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Solution

The third proportional to 108,284 and 228,416 is: 481,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,284 : 228,416 = 228,416 : x
  2. Step 2: Convert to fraction form
    108,284/228,416 = 228,416/x
  3. Step 3: Cross multiply
    108,284x = 228,416 × 228,416
  4. Step 4: Simplify right side
    108,284x = 52,173,869,056
  5. Step 5: Solve for x
    x = 52,173,869,056/108,284
  6. Step 6: Final answer
    x = 481,824.36

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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.