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Finding the Third Proportional to 156,978 and 341,172

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Solution

The third proportional to 156,978 and 341,172 is: 741,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978 : 341,172 = 341,172 : x
  2. Step 2: Convert to fraction form
    156,978/341,172 = 341,172/x
  3. Step 3: Cross multiply
    156,978x = 341,172 × 341,172
  4. Step 4: Simplify right side
    156,978x = 116,398,333,584
  5. Step 5: Solve for x
    x = 116,398,333,584/156,978
  6. Step 6: Final answer
    x = 741,494.56

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