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Finding the Third Proportional to 189.75 and 285.56

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Solution

The third proportional to 189.75 and 285.56 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 285.56 = 285.56 : x
  2. Step 2: Convert to fraction form
    189.75/285.56 = 285.56/x
  3. Step 3: Cross multiply
    189.75x = 285.56 × 285.56
  4. Step 4: Simplify right side
    189.75x = 81,545.94
  5. Step 5: Solve for x
    x = 81,545.94/189.75
  6. Step 6: Final answer
    x = 429.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.