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Finding the Third Proportional to 266,162 and 400,323

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Solution

The third proportional to 266,162 and 400,323 is: 602,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,162 : 400,323 = 400,323 : x
  2. Step 2: Convert to fraction form
    266,162/400,323 = 400,323/x
  3. Step 3: Cross multiply
    266,162x = 400,323 × 400,323
  4. Step 4: Simplify right side
    266,162x = 160,258,504,329
  5. Step 5: Solve for x
    x = 160,258,504,329/266,162
  6. Step 6: Final answer
    x = 602,108.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.