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Finding the Third Proportional to 156,954 and 340,116

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Solution

The third proportional to 156,954 and 340,116 is: 737,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 340,116 = 340,116 : x
  2. Step 2: Convert to fraction form
    156,954/340,116 = 340,116/x
  3. Step 3: Cross multiply
    156,954x = 340,116 × 340,116
  4. Step 4: Simplify right side
    156,954x = 115,678,893,456
  5. Step 5: Solve for x
    x = 115,678,893,456/156,954
  6. Step 6: Final answer
    x = 737,024.18

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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.