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Finding the Third Proportional to 180.94 and 319.69

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Solution

The third proportional to 180.94 and 319.69 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 319.69 = 319.69 : x
  2. Step 2: Convert to fraction form
    180.94/319.69 = 319.69/x
  3. Step 3: Cross multiply
    180.94x = 319.69 × 319.69
  4. Step 4: Simplify right side
    180.94x = 102,200.10
  5. Step 5: Solve for x
    x = 102,200.10/180.94
  6. Step 6: Final answer
    x = 564.84

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.