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Finding the Third Proportional to 156,954 and 228,137

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Solution

The third proportional to 156,954 and 228,137 is: 331,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 228,137 = 228,137 : x
  2. Step 2: Convert to fraction form
    156,954/228,137 = 228,137/x
  3. Step 3: Cross multiply
    156,954x = 228,137 × 228,137
  4. Step 4: Simplify right side
    156,954x = 52,046,490,769
  5. Step 5: Solve for x
    x = 52,046,490,769/156,954
  6. Step 6: Final answer
    x = 331,603.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.