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Finding the Third Proportional to 156,939 and 339,636

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Solution

The third proportional to 156,939 and 339,636 is: 735,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 339,636 = 339,636 : x
  2. Step 2: Convert to fraction form
    156,939/339,636 = 339,636/x
  3. Step 3: Cross multiply
    156,939x = 339,636 × 339,636
  4. Step 4: Simplify right side
    156,939x = 115,352,612,496
  5. Step 5: Solve for x
    x = 115,352,612,496/156,939
  6. Step 6: Final answer
    x = 735,015.60

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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.