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Finding the Third Proportional to 180.38 and 376.13

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Solution

The third proportional to 180.38 and 376.13 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 376.13 = 376.13 : x
  2. Step 2: Convert to fraction form
    180.38/376.13 = 376.13/x
  3. Step 3: Cross multiply
    180.38x = 376.13 × 376.13
  4. Step 4: Simplify right side
    180.38x = 141,470.02
  5. Step 5: Solve for x
    x = 141,470.02/180.38
  6. Step 6: Final answer
    x = 784.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.