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Finding the Third Proportional to 164,847 and 256,901

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Solution

The third proportional to 164,847 and 256,901 is: 400,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,847 : 256,901 = 256,901 : x
  2. Step 2: Convert to fraction form
    164,847/256,901 = 256,901/x
  3. Step 3: Cross multiply
    164,847x = 256,901 × 256,901
  4. Step 4: Simplify right side
    164,847x = 65,998,123,801
  5. Step 5: Solve for x
    x = 65,998,123,801/164,847
  6. Step 6: Final answer
    x = 400,359.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.