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Finding the Third Proportional to 156,942 and 340,092

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Solution

The third proportional to 156,942 and 340,092 is: 736,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 340,092 = 340,092 : x
  2. Step 2: Convert to fraction form
    156,942/340,092 = 340,092/x
  3. Step 3: Cross multiply
    156,942x = 340,092 × 340,092
  4. Step 4: Simplify right side
    156,942x = 115,662,568,464
  5. Step 5: Solve for x
    x = 115,662,568,464/156,942
  6. Step 6: Final answer
    x = 736,976.52

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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.