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Finding the Third Proportional to 189.75 and 445.50

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Solution

The third proportional to 189.75 and 445.50 is: 1,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 445.50 = 445.50 : x
  2. Step 2: Convert to fraction form
    189.75/445.50 = 445.50/x
  3. Step 3: Cross multiply
    189.75x = 445.50 × 445.50
  4. Step 4: Simplify right side
    189.75x = 198,470.25
  5. Step 5: Solve for x
    x = 198,470.25/189.75
  6. Step 6: Final answer
    x = 1,045.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.