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Finding the Third Proportional to 193,238 and 254,107

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Solution

The third proportional to 193,238 and 254,107 is: 334,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,238 : 254,107 = 254,107 : x
  2. Step 2: Convert to fraction form
    193,238/254,107 = 254,107/x
  3. Step 3: Cross multiply
    193,238x = 254,107 × 254,107
  4. Step 4: Simplify right side
    193,238x = 64,570,367,449
  5. Step 5: Solve for x
    x = 64,570,367,449/193,238
  6. Step 6: Final answer
    x = 334,149.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.