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Finding the Third Proportional to 179,576.25 and 267,807

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Solution

The third proportional to 179,576.25 and 267,807 is: 399,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,576.25 : 267,807 = 267,807 : x
  2. Step 2: Convert to fraction form
    179,576.25/267,807 = 267,807/x
  3. Step 3: Cross multiply
    179,576.25x = 267,807 × 267,807
  4. Step 4: Simplify right side
    179,576.25x = 71,720,589,249
  5. Step 5: Solve for x
    x = 71,720,589,249/179,576.25
  6. Step 6: Final answer
    x = 399,387.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.