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Finding the Third Proportional to 155.55 and 218.02

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Solution

The third proportional to 155.55 and 218.02 is: 305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 218.02 = 218.02 : x
  2. Step 2: Convert to fraction form
    155.55/218.02 = 218.02/x
  3. Step 3: Cross multiply
    155.55x = 218.02 × 218.02
  4. Step 4: Simplify right side
    155.55x = 47,530.81
  5. Step 5: Solve for x
    x = 47,530.81/155.55
  6. Step 6: Final answer
    x = 305.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.