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Finding the Third Proportional to 144.52 and 229.95

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Solution

The third proportional to 144.52 and 229.95 is: 365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 229.95 = 229.95 : x
  2. Step 2: Convert to fraction form
    144.52/229.95 = 229.95/x
  3. Step 3: Cross multiply
    144.52x = 229.95 × 229.95
  4. Step 4: Simplify right side
    144.52x = 52,876.19
  5. Step 5: Solve for x
    x = 52,876.19/144.52
  6. Step 6: Final answer
    x = 365.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.