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Finding the Third Proportional to 109,777 and 228,167

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Solution

The third proportional to 109,777 and 228,167 is: 474,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,777 : 228,167 = 228,167 : x
  2. Step 2: Convert to fraction form
    109,777/228,167 = 228,167/x
  3. Step 3: Cross multiply
    109,777x = 228,167 × 228,167
  4. Step 4: Simplify right side
    109,777x = 52,060,179,889
  5. Step 5: Solve for x
    x = 52,060,179,889/109,777
  6. Step 6: Final answer
    x = 474,235.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.