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Finding the Third Proportional to 180.13 and 393.88

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Solution

The third proportional to 180.13 and 393.88 is: 861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.13 : 393.88 = 393.88 : x
  2. Step 2: Convert to fraction form
    180.13/393.88 = 393.88/x
  3. Step 3: Cross multiply
    180.13x = 393.88 × 393.88
  4. Step 4: Simplify right side
    180.13x = 155,137.52
  5. Step 5: Solve for x
    x = 155,137.52/180.13
  6. Step 6: Final answer
    x = 861.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.