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Finding the Third Proportional to 156,936 and 345,543

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Solution

The third proportional to 156,936 and 345,543 is: 760,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 345,543 = 345,543 : x
  2. Step 2: Convert to fraction form
    156,936/345,543 = 345,543/x
  3. Step 3: Cross multiply
    156,936x = 345,543 × 345,543
  4. Step 4: Simplify right side
    156,936x = 119,399,964,849
  5. Step 5: Solve for x
    x = 119,399,964,849/156,936
  6. Step 6: Final answer
    x = 760,819.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.