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Finding the Third Proportional to 171,338 and 371,278

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Solution

The third proportional to 171,338 and 371,278 is: 804,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,338 : 371,278 = 371,278 : x
  2. Step 2: Convert to fraction form
    171,338/371,278 = 371,278/x
  3. Step 3: Cross multiply
    171,338x = 371,278 × 371,278
  4. Step 4: Simplify right side
    171,338x = 137,847,353,284
  5. Step 5: Solve for x
    x = 137,847,353,284/171,338
  6. Step 6: Final answer
    x = 804,534.62

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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.