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Finding the Third Proportional to 179.16 and 268.03

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Solution

The third proportional to 179.16 and 268.03 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 268.03 = 268.03 : x
  2. Step 2: Convert to fraction form
    179.16/268.03 = 268.03/x
  3. Step 3: Cross multiply
    179.16x = 268.03 × 268.03
  4. Step 4: Simplify right side
    179.16x = 71,840.75
  5. Step 5: Solve for x
    x = 71,840.75/179.16
  6. Step 6: Final answer
    x = 400.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.