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Finding the Third Proportional to 156,979 and 339,107

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Solution

The third proportional to 156,979 and 339,107 is: 732,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,979 : 339,107 = 339,107 : x
  2. Step 2: Convert to fraction form
    156,979/339,107 = 339,107/x
  3. Step 3: Cross multiply
    156,979x = 339,107 × 339,107
  4. Step 4: Simplify right side
    156,979x = 114,993,557,449
  5. Step 5: Solve for x
    x = 114,993,557,449/156,979
  6. Step 6: Final answer
    x = 732,541.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.