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Finding the Third Proportional to 171,199.50 and 412,434.75

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Solution

The third proportional to 171,199.50 and 412,434.75 is: 993,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,199.50 : 412,434.75 = 412,434.75 : x
  2. Step 2: Convert to fraction form
    171,199.50/412,434.75 = 412,434.75/x
  3. Step 3: Cross multiply
    171,199.50x = 412,434.75 × 412,434.75
  4. Step 4: Simplify right side
    171,199.50x = 170,102,423,007.56
  5. Step 5: Solve for x
    x = 170,102,423,007.56/171,199.50
  6. Step 6: Final answer
    x = 993,591.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.