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Finding the Third Proportional to 179.40 and 389.24

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Solution

The third proportional to 179.40 and 389.24 is: 844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 389.24 = 389.24 : x
  2. Step 2: Convert to fraction form
    179.40/389.24 = 389.24/x
  3. Step 3: Cross multiply
    179.40x = 389.24 × 389.24
  4. Step 4: Simplify right side
    179.40x = 151,507.01
  5. Step 5: Solve for x
    x = 151,507.01/179.40
  6. Step 6: Final answer
    x = 844.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.