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Finding the Third Proportional to 154,375.31 and 337,910.63

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Solution

The third proportional to 154,375.31 and 337,910.63 is: 739,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,375.31 : 337,910.63 = 337,910.63 : x
  2. Step 2: Convert to fraction form
    154,375.31/337,910.63 = 337,910.63/x
  3. Step 3: Cross multiply
    154,375.31x = 337,910.63 × 337,910.63
  4. Step 4: Simplify right side
    154,375.31x = 114,183,590,487.89
  5. Step 5: Solve for x
    x = 114,183,590,487.89/154,375.31
  6. Step 6: Final answer
    x = 739,649.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.