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Finding the Third Proportional to 156,794 and 228,622

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Solution

The third proportional to 156,794 and 228,622 is: 333,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,794 : 228,622 = 228,622 : x
  2. Step 2: Convert to fraction form
    156,794/228,622 = 228,622/x
  3. Step 3: Cross multiply
    156,794x = 228,622 × 228,622
  4. Step 4: Simplify right side
    156,794x = 52,268,018,884
  5. Step 5: Solve for x
    x = 52,268,018,884/156,794
  6. Step 6: Final answer
    x = 333,354.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.