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Finding the Third Proportional to 185.25 and 288.66

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Solution

The third proportional to 185.25 and 288.66 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 288.66 = 288.66 : x
  2. Step 2: Convert to fraction form
    185.25/288.66 = 288.66/x
  3. Step 3: Cross multiply
    185.25x = 288.66 × 288.66
  4. Step 4: Simplify right side
    185.25x = 83,322.43
  5. Step 5: Solve for x
    x = 83,322.43/185.25
  6. Step 6: Final answer
    x = 449.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.