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Finding the Third Proportional to 156,696 and 341,763

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Solution

The third proportional to 156,696 and 341,763 is: 745,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,696 : 341,763 = 341,763 : x
  2. Step 2: Convert to fraction form
    156,696/341,763 = 341,763/x
  3. Step 3: Cross multiply
    156,696x = 341,763 × 341,763
  4. Step 4: Simplify right side
    156,696x = 116,801,948,169
  5. Step 5: Solve for x
    x = 116,801,948,169/156,696
  6. Step 6: Final answer
    x = 745,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.