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Finding the Third Proportional to 226.55 and 305.02

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Solution

The third proportional to 226.55 and 305.02 is: 410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.55 : 305.02 = 305.02 : x
  2. Step 2: Convert to fraction form
    226.55/305.02 = 305.02/x
  3. Step 3: Cross multiply
    226.55x = 305.02 × 305.02
  4. Step 4: Simplify right side
    226.55x = 93,034.53
  5. Step 5: Solve for x
    x = 93,034.53/226.55
  6. Step 6: Final answer
    x = 410.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.