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Finding the Third Proportional to 173,573 and 351,974

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Solution

The third proportional to 173,573 and 351,974 is: 713,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,573 : 351,974 = 351,974 : x
  2. Step 2: Convert to fraction form
    173,573/351,974 = 351,974/x
  3. Step 3: Cross multiply
    173,573x = 351,974 × 351,974
  4. Step 4: Simplify right side
    173,573x = 123,885,696,676
  5. Step 5: Solve for x
    x = 123,885,696,676/173,573
  6. Step 6: Final answer
    x = 713,738.29

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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.