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Finding the Third Proportional to 168,045 and 351,669

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Solution

The third proportional to 168,045 and 351,669 is: 735,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,045 : 351,669 = 351,669 : x
  2. Step 2: Convert to fraction form
    168,045/351,669 = 351,669/x
  3. Step 3: Cross multiply
    168,045x = 351,669 × 351,669
  4. Step 4: Simplify right side
    168,045x = 123,671,085,561
  5. Step 5: Solve for x
    x = 123,671,085,561/168,045
  6. Step 6: Final answer
    x = 735,940.29

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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.