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Finding the Third Proportional to 185.75 and 291.44

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Solution

The third proportional to 185.75 and 291.44 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.75 : 291.44 = 291.44 : x
  2. Step 2: Convert to fraction form
    185.75/291.44 = 291.44/x
  3. Step 3: Cross multiply
    185.75x = 291.44 × 291.44
  4. Step 4: Simplify right side
    185.75x = 84,935.82
  5. Step 5: Solve for x
    x = 84,935.82/185.75
  6. Step 6: Final answer
    x = 457.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.