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Finding the Third Proportional to 168,003 and 351,564

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Solution

The third proportional to 168,003 and 351,564 is: 735,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,003 : 351,564 = 351,564 : x
  2. Step 2: Convert to fraction form
    168,003/351,564 = 351,564/x
  3. Step 3: Cross multiply
    168,003x = 351,564 × 351,564
  4. Step 4: Simplify right side
    168,003x = 123,597,246,096
  5. Step 5: Solve for x
    x = 123,597,246,096/168,003
  6. Step 6: Final answer
    x = 735,684.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.