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Finding the Third Proportional to 156,680 and 341,425

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Solution

The third proportional to 156,680 and 341,425 is: 744,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,680 : 341,425 = 341,425 : x
  2. Step 2: Convert to fraction form
    156,680/341,425 = 341,425/x
  3. Step 3: Cross multiply
    156,680x = 341,425 × 341,425
  4. Step 4: Simplify right side
    156,680x = 116,571,030,625
  5. Step 5: Solve for x
    x = 116,571,030,625/156,680
  6. Step 6: Final answer
    x = 744,007.09

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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.