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Finding the Third Proportional to 156,714 and 341,400

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Solution

The third proportional to 156,714 and 341,400 is: 743,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714 : 341,400 = 341,400 : x
  2. Step 2: Convert to fraction form
    156,714/341,400 = 341,400/x
  3. Step 3: Cross multiply
    156,714x = 341,400 × 341,400
  4. Step 4: Simplify right side
    156,714x = 116,553,960,000
  5. Step 5: Solve for x
    x = 116,553,960,000/156,714
  6. Step 6: Final answer
    x = 743,736.74

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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.