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Finding the Third Proportional to 144.60 and 305.33

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Solution

The third proportional to 144.60 and 305.33 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.60 : 305.33 = 305.33 : x
  2. Step 2: Convert to fraction form
    144.60/305.33 = 305.33/x
  3. Step 3: Cross multiply
    144.60x = 305.33 × 305.33
  4. Step 4: Simplify right side
    144.60x = 93,227.65
  5. Step 5: Solve for x
    x = 93,227.65/144.60
  6. Step 6: Final answer
    x = 644.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.