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Finding the Third Proportional to 171,361 and 371,324

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Solution

The third proportional to 171,361 and 371,324 is: 804,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,361 : 371,324 = 371,324 : x
  2. Step 2: Convert to fraction form
    171,361/371,324 = 371,324/x
  3. Step 3: Cross multiply
    171,361x = 371,324 × 371,324
  4. Step 4: Simplify right side
    171,361x = 137,881,512,976
  5. Step 5: Solve for x
    x = 137,881,512,976/171,361
  6. Step 6: Final answer
    x = 804,625.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.