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Finding the Third Proportional to 192,990 and 254,349

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Solution

The third proportional to 192,990 and 254,349 is: 335,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,990 : 254,349 = 254,349 : x
  2. Step 2: Convert to fraction form
    192,990/254,349 = 254,349/x
  3. Step 3: Cross multiply
    192,990x = 254,349 × 254,349
  4. Step 4: Simplify right side
    192,990x = 64,693,413,801
  5. Step 5: Solve for x
    x = 64,693,413,801/192,990
  6. Step 6: Final answer
    x = 335,216.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.