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Finding the Third Proportional to 266.06 and 606.28

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Solution

The third proportional to 266.06 and 606.28 is: 1,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 606.28 = 606.28 : x
  2. Step 2: Convert to fraction form
    266.06/606.28 = 606.28/x
  3. Step 3: Cross multiply
    266.06x = 606.28 × 606.28
  4. Step 4: Simplify right side
    266.06x = 367,576.95
  5. Step 5: Solve for x
    x = 367,576.95/266.06
  6. Step 6: Final answer
    x = 1,381.54

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.