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Finding the Third Proportional to 254,345.06 and 339,057.14

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Solution

The third proportional to 254,345.06 and 339,057.14 is: 451,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,345.06 : 339,057.14 = 339,057.14 : x
  2. Step 2: Convert to fraction form
    254,345.06/339,057.14 = 339,057.14/x
  3. Step 3: Cross multiply
    254,345.06x = 339,057.14 × 339,057.14
  4. Step 4: Simplify right side
    254,345.06x = 114,959,744,608.80
  5. Step 5: Solve for x
    x = 114,959,744,608.80/254,345.06
  6. Step 6: Final answer
    x = 451,983.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.