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Finding the Third Proportional to 156,675 and 228,311

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Solution

The third proportional to 156,675 and 228,311 is: 332,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,675 : 228,311 = 228,311 : x
  2. Step 2: Convert to fraction form
    156,675/228,311 = 228,311/x
  3. Step 3: Cross multiply
    156,675x = 228,311 × 228,311
  4. Step 4: Simplify right side
    156,675x = 52,125,912,721
  5. Step 5: Solve for x
    x = 52,125,912,721/156,675
  6. Step 6: Final answer
    x = 332,700.89

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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.