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Finding the Third Proportional to 171,024 and 371,249

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Solution

The third proportional to 171,024 and 371,249 is: 805,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024 : 371,249 = 371,249 : x
  2. Step 2: Convert to fraction form
    171,024/371,249 = 371,249/x
  3. Step 3: Cross multiply
    171,024x = 371,249 × 371,249
  4. Step 4: Simplify right side
    171,024x = 137,825,820,001
  5. Step 5: Solve for x
    x = 137,825,820,001/171,024
  6. Step 6: Final answer
    x = 805,885.84

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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.