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Finding the Third Proportional to 170,208 and 250,384

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Solution

The third proportional to 170,208 and 250,384 is: 368,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,208 : 250,384 = 250,384 : x
  2. Step 2: Convert to fraction form
    170,208/250,384 = 250,384/x
  3. Step 3: Cross multiply
    170,208x = 250,384 × 250,384
  4. Step 4: Simplify right side
    170,208x = 62,692,147,456
  5. Step 5: Solve for x
    x = 62,692,147,456/170,208
  6. Step 6: Final answer
    x = 368,326.68

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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.