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Finding the Third Proportional to 74.75 and 185.75

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Solution

The third proportional to 74.75 and 185.75 is: 461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 185.75 = 185.75 : x
  2. Step 2: Convert to fraction form
    74.75/185.75 = 185.75/x
  3. Step 3: Cross multiply
    74.75x = 185.75 × 185.75
  4. Step 4: Simplify right side
    74.75x = 34,503.06
  5. Step 5: Solve for x
    x = 34,503.06/74.75
  6. Step 6: Final answer
    x = 461.58

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.