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Finding the Third Proportional to 179,583 and 267,816

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Solution

The third proportional to 179,583 and 267,816 is: 399,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,583 : 267,816 = 267,816 : x
  2. Step 2: Convert to fraction form
    179,583/267,816 = 267,816/x
  3. Step 3: Cross multiply
    179,583x = 267,816 × 267,816
  4. Step 4: Simplify right side
    179,583x = 71,725,409,856
  5. Step 5: Solve for x
    x = 71,725,409,856/179,583
  6. Step 6: Final answer
    x = 399,399.78

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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.