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Finding the Third Proportional to 146.22 and 324.88

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Solution

The third proportional to 146.22 and 324.88 is: 721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 324.88 = 324.88 : x
  2. Step 2: Convert to fraction form
    146.22/324.88 = 324.88/x
  3. Step 3: Cross multiply
    146.22x = 324.88 × 324.88
  4. Step 4: Simplify right side
    146.22x = 105,543.77
  5. Step 5: Solve for x
    x = 105,543.77/146.22
  6. Step 6: Final answer
    x = 721.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.