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Finding the Third Proportional to 163,908 and 250,238

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Solution

The third proportional to 163,908 and 250,238 is: 382,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,908 : 250,238 = 250,238 : x
  2. Step 2: Convert to fraction form
    163,908/250,238 = 250,238/x
  3. Step 3: Cross multiply
    163,908x = 250,238 × 250,238
  4. Step 4: Simplify right side
    163,908x = 62,619,056,644
  5. Step 5: Solve for x
    x = 62,619,056,644/163,908
  6. Step 6: Final answer
    x = 382,037.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.