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Finding the Third Proportional to 171,001 and 371,208

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Solution

The third proportional to 171,001 and 371,208 is: 805,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,001 : 371,208 = 371,208 : x
  2. Step 2: Convert to fraction form
    171,001/371,208 = 371,208/x
  3. Step 3: Cross multiply
    171,001x = 371,208 × 371,208
  4. Step 4: Simplify right side
    171,001x = 137,795,379,264
  5. Step 5: Solve for x
    x = 137,795,379,264/171,001
  6. Step 6: Final answer
    x = 805,816.22

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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.