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Finding the Third Proportional to 185.88 and 266.94

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Solution

The third proportional to 185.88 and 266.94 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 266.94 = 266.94 : x
  2. Step 2: Convert to fraction form
    185.88/266.94 = 266.94/x
  3. Step 3: Cross multiply
    185.88x = 266.94 × 266.94
  4. Step 4: Simplify right side
    185.88x = 71,255.63
  5. Step 5: Solve for x
    x = 71,255.63/185.88
  6. Step 6: Final answer
    x = 383.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.