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Finding the Third Proportional to 181,505 and 264,450

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Solution

The third proportional to 181,505 and 264,450 is: 385,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,505 : 264,450 = 264,450 : x
  2. Step 2: Convert to fraction form
    181,505/264,450 = 264,450/x
  3. Step 3: Cross multiply
    181,505x = 264,450 × 264,450
  4. Step 4: Simplify right side
    181,505x = 69,933,802,500
  5. Step 5: Solve for x
    x = 69,933,802,500/181,505
  6. Step 6: Final answer
    x = 385,299.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.