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Finding the Third Proportional to 180.38 and 418.88

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Solution

The third proportional to 180.38 and 418.88 is: 972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 418.88 = 418.88 : x
  2. Step 2: Convert to fraction form
    180.38/418.88 = 418.88/x
  3. Step 3: Cross multiply
    180.38x = 418.88 × 418.88
  4. Step 4: Simplify right side
    180.38x = 175,456.27
  5. Step 5: Solve for x
    x = 175,456.27/180.38
  6. Step 6: Final answer
    x = 972.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.