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Finding the Third Proportional to 163,250 and 239,286

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Solution

The third proportional to 163,250 and 239,286 is: 350,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,250 : 239,286 = 239,286 : x
  2. Step 2: Convert to fraction form
    163,250/239,286 = 239,286/x
  3. Step 3: Cross multiply
    163,250x = 239,286 × 239,286
  4. Step 4: Simplify right side
    163,250x = 57,257,789,796
  5. Step 5: Solve for x
    x = 57,257,789,796/163,250
  6. Step 6: Final answer
    x = 350,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.