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Finding the Third Proportional to 156,409.50 and 343,923

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Solution

The third proportional to 156,409.50 and 343,923 is: 756,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,409.50 : 343,923 = 343,923 : x
  2. Step 2: Convert to fraction form
    156,409.50/343,923 = 343,923/x
  3. Step 3: Cross multiply
    156,409.50x = 343,923 × 343,923
  4. Step 4: Simplify right side
    156,409.50x = 118,283,029,929
  5. Step 5: Solve for x
    x = 118,283,029,929/156,409.50
  6. Step 6: Final answer
    x = 756,239.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.