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Finding the Third Proportional to 171,350 and 371,302

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Solution

The third proportional to 171,350 and 371,302 is: 804,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,350 : 371,302 = 371,302 : x
  2. Step 2: Convert to fraction form
    171,350/371,302 = 371,302/x
  3. Step 3: Cross multiply
    171,350x = 371,302 × 371,302
  4. Step 4: Simplify right side
    171,350x = 137,865,175,204
  5. Step 5: Solve for x
    x = 137,865,175,204/171,350
  6. Step 6: Final answer
    x = 804,582.29

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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.