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Finding the Third Proportional to 173,571 and 351,970

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Solution

The third proportional to 173,571 and 351,970 is: 713,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,571 : 351,970 = 351,970 : x
  2. Step 2: Convert to fraction form
    173,571/351,970 = 351,970/x
  3. Step 3: Cross multiply
    173,571x = 351,970 × 351,970
  4. Step 4: Simplify right side
    173,571x = 123,882,880,900
  5. Step 5: Solve for x
    x = 123,882,880,900/173,571
  6. Step 6: Final answer
    x = 713,730.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.