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Finding the Third Proportional to 171,342 and 371,286

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Solution

The third proportional to 171,342 and 371,286 is: 804,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,342 : 371,286 = 371,286 : x
  2. Step 2: Convert to fraction form
    171,342/371,286 = 371,286/x
  3. Step 3: Cross multiply
    171,342x = 371,286 × 371,286
  4. Step 4: Simplify right side
    171,342x = 137,853,293,796
  5. Step 5: Solve for x
    x = 137,853,293,796/171,342
  6. Step 6: Final answer
    x = 804,550.51

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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.