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Finding the Third Proportional to 155.04 and 219.59

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Solution

The third proportional to 155.04 and 219.59 is: 311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.04 : 219.59 = 219.59 : x
  2. Step 2: Convert to fraction form
    155.04/219.59 = 219.59/x
  3. Step 3: Cross multiply
    155.04x = 219.59 × 219.59
  4. Step 4: Simplify right side
    155.04x = 48,217.98
  5. Step 5: Solve for x
    x = 48,217.98/155.04
  6. Step 6: Final answer
    x = 311.01

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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.