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Finding the Third Proportional to 266.44 and 505.03

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Solution

The third proportional to 266.44 and 505.03 is: 957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 505.03 = 505.03 : x
  2. Step 2: Convert to fraction form
    266.44/505.03 = 505.03/x
  3. Step 3: Cross multiply
    266.44x = 505.03 × 505.03
  4. Step 4: Simplify right side
    266.44x = 255,056.56
  5. Step 5: Solve for x
    x = 255,056.56/266.44
  6. Step 6: Final answer
    x = 957.28

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.