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Finding the Third Proportional to 144.05 and 216.45

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Solution

The third proportional to 144.05 and 216.45 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 216.45 = 216.45 : x
  2. Step 2: Convert to fraction form
    144.05/216.45 = 216.45/x
  3. Step 3: Cross multiply
    144.05x = 216.45 × 216.45
  4. Step 4: Simplify right side
    144.05x = 46,848.57
  5. Step 5: Solve for x
    x = 46,848.57/144.05
  6. Step 6: Final answer
    x = 325.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.