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Finding the Third Proportional to 156,624 and 341,192

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Solution

The third proportional to 156,624 and 341,192 is: 743,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624 : 341,192 = 341,192 : x
  2. Step 2: Convert to fraction form
    156,624/341,192 = 341,192/x
  3. Step 3: Cross multiply
    156,624x = 341,192 × 341,192
  4. Step 4: Simplify right side
    156,624x = 116,411,980,864
  5. Step 5: Solve for x
    x = 116,411,980,864/156,624
  6. Step 6: Final answer
    x = 743,257.62

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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.