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Finding the Third Proportional to 156,936 and 340,064

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Solution

The third proportional to 156,936 and 340,064 is: 736,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 340,064 = 340,064 : x
  2. Step 2: Convert to fraction form
    156,936/340,064 = 340,064/x
  3. Step 3: Cross multiply
    156,936x = 340,064 × 340,064
  4. Step 4: Simplify right side
    156,936x = 115,643,524,096
  5. Step 5: Solve for x
    x = 115,643,524,096/156,936
  6. Step 6: Final answer
    x = 736,883.34

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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.