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Finding the Third Proportional to 156,928 and 340,064

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Solution

The third proportional to 156,928 and 340,064 is: 736,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,928 : 340,064 = 340,064 : x
  2. Step 2: Convert to fraction form
    156,928/340,064 = 340,064/x
  3. Step 3: Cross multiply
    156,928x = 340,064 × 340,064
  4. Step 4: Simplify right side
    156,928x = 115,643,524,096
  5. Step 5: Solve for x
    x = 115,643,524,096/156,928
  6. Step 6: Final answer
    x = 736,920.91

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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.