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Finding the Third Proportional to 146.25 and 329.63

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Solution

The third proportional to 146.25 and 329.63 is: 742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 329.63 = 329.63 : x
  2. Step 2: Convert to fraction form
    146.25/329.63 = 329.63/x
  3. Step 3: Cross multiply
    146.25x = 329.63 × 329.63
  4. Step 4: Simplify right side
    146.25x = 108,652.64
  5. Step 5: Solve for x
    x = 108,652.64/146.25
  6. Step 6: Final answer
    x = 742.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.