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Finding the Third Proportional to 159,063.75 and 343,034.44

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Solution

The third proportional to 159,063.75 and 343,034.44 is: 739,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,063.75 : 343,034.44 = 343,034.44 : x
  2. Step 2: Convert to fraction form
    159,063.75/343,034.44 = 343,034.44/x
  3. Step 3: Cross multiply
    159,063.75x = 343,034.44 × 343,034.44
  4. Step 4: Simplify right side
    159,063.75x = 117,672,625,310.94
  5. Step 5: Solve for x
    x = 117,672,625,310.94/159,063.75
  6. Step 6: Final answer
    x = 739,782.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.