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Finding the Third Proportional to 176,311.69 and 264,466.69

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Solution

The third proportional to 176,311.69 and 264,466.69 is: 396,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,311.69 : 264,466.69 = 264,466.69 : x
  2. Step 2: Convert to fraction form
    176,311.69/264,466.69 = 264,466.69/x
  3. Step 3: Cross multiply
    176,311.69x = 264,466.69 × 264,466.69
  4. Step 4: Simplify right side
    176,311.69x = 69,942,628,797.22
  5. Step 5: Solve for x
    x = 69,942,628,797.22/176,311.69
  6. Step 6: Final answer
    x = 396,698.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.