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Finding the Third Proportional to 266,168 and 410,266

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Solution

The third proportional to 266,168 and 410,266 is: 632,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,168 : 410,266 = 410,266 : x
  2. Step 2: Convert to fraction form
    266,168/410,266 = 410,266/x
  3. Step 3: Cross multiply
    266,168x = 410,266 × 410,266
  4. Step 4: Simplify right side
    266,168x = 168,318,190,756
  5. Step 5: Solve for x
    x = 168,318,190,756/266,168
  6. Step 6: Final answer
    x = 632,375.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.