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Finding the Third Proportional to 164,659 and 254,198

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Solution

The third proportional to 164,659 and 254,198 is: 392,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,659 : 254,198 = 254,198 : x
  2. Step 2: Convert to fraction form
    164,659/254,198 = 254,198/x
  3. Step 3: Cross multiply
    164,659x = 254,198 × 254,198
  4. Step 4: Simplify right side
    164,659x = 64,616,623,204
  5. Step 5: Solve for x
    x = 64,616,623,204/164,659
  6. Step 6: Final answer
    x = 392,426.91

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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.