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Finding the Third Proportional to 171,340 and 371,282

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Solution

The third proportional to 171,340 and 371,282 is: 804,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,340 : 371,282 = 371,282 : x
  2. Step 2: Convert to fraction form
    171,340/371,282 = 371,282/x
  3. Step 3: Cross multiply
    171,340x = 371,282 × 371,282
  4. Step 4: Simplify right side
    171,340x = 137,850,323,524
  5. Step 5: Solve for x
    x = 137,850,323,524/171,340
  6. Step 6: Final answer
    x = 804,542.57

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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.