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Finding the Third Proportional to 180.38 and 274.13

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Solution

The third proportional to 180.38 and 274.13 is: 416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 274.13 = 274.13 : x
  2. Step 2: Convert to fraction form
    180.38/274.13 = 274.13/x
  3. Step 3: Cross multiply
    180.38x = 274.13 × 274.13
  4. Step 4: Simplify right side
    180.38x = 75,144.52
  5. Step 5: Solve for x
    x = 75,144.52/180.38
  6. Step 6: Final answer
    x = 416.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.