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Finding the Third Proportional to 170,361 and 238,257

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Solution

The third proportional to 170,361 and 238,257 is: 333,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,361 : 238,257 = 238,257 : x
  2. Step 2: Convert to fraction form
    170,361/238,257 = 238,257/x
  3. Step 3: Cross multiply
    170,361x = 238,257 × 238,257
  4. Step 4: Simplify right side
    170,361x = 56,766,398,049
  5. Step 5: Solve for x
    x = 56,766,398,049/170,361
  6. Step 6: Final answer
    x = 333,212.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.