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Finding the Third Proportional to 165,942 and 256,266

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Solution

The third proportional to 165,942 and 256,266 is: 395,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,942 : 256,266 = 256,266 : x
  2. Step 2: Convert to fraction form
    165,942/256,266 = 256,266/x
  3. Step 3: Cross multiply
    165,942x = 256,266 × 256,266
  4. Step 4: Simplify right side
    165,942x = 65,672,262,756
  5. Step 5: Solve for x
    x = 65,672,262,756/165,942
  6. Step 6: Final answer
    x = 395,754.32

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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.