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Finding the Third Proportional to 144.75 and 232.63

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Solution

The third proportional to 144.75 and 232.63 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 232.63 = 232.63 : x
  2. Step 2: Convert to fraction form
    144.75/232.63 = 232.63/x
  3. Step 3: Cross multiply
    144.75x = 232.63 × 232.63
  4. Step 4: Simplify right side
    144.75x = 54,114.39
  5. Step 5: Solve for x
    x = 54,114.39/144.75
  6. Step 6: Final answer
    x = 373.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.