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Finding the Third Proportional to 166,074.75 and 264,382.88

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Solution

The third proportional to 166,074.75 and 264,382.88 is: 420,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,074.75 : 264,382.88 = 264,382.88 : x
  2. Step 2: Convert to fraction form
    166,074.75/264,382.88 = 264,382.88/x
  3. Step 3: Cross multiply
    166,074.75x = 264,382.88 × 264,382.88
  4. Step 4: Simplify right side
    166,074.75x = 69,898,304,593.27
  5. Step 5: Solve for x
    x = 69,898,304,593.27/166,074.75
  6. Step 6: Final answer
    x = 420,884.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.