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Finding the Third Proportional to 157,768.88 and 339,594.75

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Solution

The third proportional to 157,768.88 and 339,594.75 is: 730,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,768.88 : 339,594.75 = 339,594.75 : x
  2. Step 2: Convert to fraction form
    157,768.88/339,594.75 = 339,594.75/x
  3. Step 3: Cross multiply
    157,768.88x = 339,594.75 × 339,594.75
  4. Step 4: Simplify right side
    157,768.88x = 115,324,594,227.56
  5. Step 5: Solve for x
    x = 115,324,594,227.56/157,768.88
  6. Step 6: Final answer
    x = 730,971.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.