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Finding the Third Proportional to 156,039.75 and 338,529

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Solution

The third proportional to 156,039.75 and 338,529 is: 734,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,039.75 : 338,529 = 338,529 : x
  2. Step 2: Convert to fraction form
    156,039.75/338,529 = 338,529/x
  3. Step 3: Cross multiply
    156,039.75x = 338,529 × 338,529
  4. Step 4: Simplify right side
    156,039.75x = 114,601,883,841
  5. Step 5: Solve for x
    x = 114,601,883,841/156,039.75
  6. Step 6: Final answer
    x = 734,440.32

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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.