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Finding the Third Proportional to 153.50 and 218.63

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Solution

The third proportional to 153.50 and 218.63 is: 311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 218.63 = 218.63 : x
  2. Step 2: Convert to fraction form
    153.50/218.63 = 218.63/x
  3. Step 3: Cross multiply
    153.50x = 218.63 × 218.63
  4. Step 4: Simplify right side
    153.50x = 47,796.89
  5. Step 5: Solve for x
    x = 47,796.89/153.50
  6. Step 6: Final answer
    x = 311.38

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.