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Finding the Third Proportional to 149.75 and 233.94

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Solution

The third proportional to 149.75 and 233.94 is: 365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 233.94 = 233.94 : x
  2. Step 2: Convert to fraction form
    149.75/233.94 = 233.94/x
  3. Step 3: Cross multiply
    149.75x = 233.94 × 233.94
  4. Step 4: Simplify right side
    149.75x = 54,726.75
  5. Step 5: Solve for x
    x = 54,726.75/149.75
  6. Step 6: Final answer
    x = 365.45

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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.