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Finding the Third Proportional to 170,337.94 and 264,493.69

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Solution

The third proportional to 170,337.94 and 264,493.69 is: 410,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,337.94 : 264,493.69 = 264,493.69 : x
  2. Step 2: Convert to fraction form
    170,337.94/264,493.69 = 264,493.69/x
  3. Step 3: Cross multiply
    170,337.94x = 264,493.69 × 264,493.69
  4. Step 4: Simplify right side
    170,337.94x = 69,956,910,727.35
  5. Step 5: Solve for x
    x = 69,956,910,727.35/170,337.94
  6. Step 6: Final answer
    x = 410,694.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.