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Finding the Third Proportional to 185.10 and 282.55

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Solution

The third proportional to 185.10 and 282.55 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 282.55 = 282.55 : x
  2. Step 2: Convert to fraction form
    185.10/282.55 = 282.55/x
  3. Step 3: Cross multiply
    185.10x = 282.55 × 282.55
  4. Step 4: Simplify right side
    185.10x = 79,834.94
  5. Step 5: Solve for x
    x = 79,834.94/185.10
  6. Step 6: Final answer
    x = 431.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.