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Finding the Third Proportional to 180 and 405.50

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Solution

The third proportional to 180 and 405.50 is: 913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 405.50 = 405.50 : x
  2. Step 2: Convert to fraction form
    180/405.50 = 405.50/x
  3. Step 3: Cross multiply
    180x = 405.50 × 405.50
  4. Step 4: Simplify right side
    180x = 164,430.25
  5. Step 5: Solve for x
    x = 164,430.25/180
  6. Step 6: Final answer
    x = 913.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.