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Finding the Third Proportional to 146.63 and 218.63

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Solution

The third proportional to 146.63 and 218.63 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 218.63 = 218.63 : x
  2. Step 2: Convert to fraction form
    146.63/218.63 = 218.63/x
  3. Step 3: Cross multiply
    146.63x = 218.63 × 218.63
  4. Step 4: Simplify right side
    146.63x = 47,796.89
  5. Step 5: Solve for x
    x = 47,796.89/146.63
  6. Step 6: Final answer
    x = 325.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.