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Finding the Third Proportional to 193,250 and 267,028

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Solution

The third proportional to 193,250 and 267,028 is: 368,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,250 : 267,028 = 267,028 : x
  2. Step 2: Convert to fraction form
    193,250/267,028 = 267,028/x
  3. Step 3: Cross multiply
    193,250x = 267,028 × 267,028
  4. Step 4: Simplify right side
    193,250x = 71,303,952,784
  5. Step 5: Solve for x
    x = 71,303,952,784/193,250
  6. Step 6: Final answer
    x = 368,972.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.