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Finding the Third Proportional to 115.33 and 179.40

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Solution

The third proportional to 115.33 and 179.40 is: 279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.33 : 179.40 = 179.40 : x
  2. Step 2: Convert to fraction form
    115.33/179.40 = 179.40/x
  3. Step 3: Cross multiply
    115.33x = 179.40 × 179.40
  4. Step 4: Simplify right side
    115.33x = 32,185.20
  5. Step 5: Solve for x
    x = 32,185.20/115.33
  6. Step 6: Final answer
    x = 279.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.