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Finding the Third Proportional to 156,965 and 339,832

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Solution

The third proportional to 156,965 and 339,832 is: 735,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965 : 339,832 = 339,832 : x
  2. Step 2: Convert to fraction form
    156,965/339,832 = 339,832/x
  3. Step 3: Cross multiply
    156,965x = 339,832 × 339,832
  4. Step 4: Simplify right side
    156,965x = 115,485,788,224
  5. Step 5: Solve for x
    x = 115,485,788,224/156,965
  6. Step 6: Final answer
    x = 735,742.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.