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Finding the Third Proportional to 108,494 and 228,652

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Solution

The third proportional to 108,494 and 228,652 is: 481,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,494 : 228,652 = 228,652 : x
  2. Step 2: Convert to fraction form
    108,494/228,652 = 228,652/x
  3. Step 3: Cross multiply
    108,494x = 228,652 × 228,652
  4. Step 4: Simplify right side
    108,494x = 52,281,737,104
  5. Step 5: Solve for x
    x = 52,281,737,104/108,494
  6. Step 6: Final answer
    x = 481,885.98

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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.