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Finding the Third Proportional to 163.37 and 288.04

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Solution

The third proportional to 163.37 and 288.04 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.37 : 288.04 = 288.04 : x
  2. Step 2: Convert to fraction form
    163.37/288.04 = 288.04/x
  3. Step 3: Cross multiply
    163.37x = 288.04 × 288.04
  4. Step 4: Simplify right side
    163.37x = 82,964.25
  5. Step 5: Solve for x
    x = 82,964.25/163.37
  6. Step 6: Final answer
    x = 507.83

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.