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Finding the Third Proportional to 156,728 and 228,523

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Solution

The third proportional to 156,728 and 228,523 is: 333,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,728 : 228,523 = 228,523 : x
  2. Step 2: Convert to fraction form
    156,728/228,523 = 228,523/x
  3. Step 3: Cross multiply
    156,728x = 228,523 × 228,523
  4. Step 4: Simplify right side
    156,728x = 52,222,761,529
  5. Step 5: Solve for x
    x = 52,222,761,529/156,728
  6. Step 6: Final answer
    x = 333,206.33

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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.