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Finding the Third Proportional to 159,321.94 and 344,781.56

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Solution

The third proportional to 159,321.94 and 344,781.56 is: 746,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,321.94 : 344,781.56 = 344,781.56 : x
  2. Step 2: Convert to fraction form
    159,321.94/344,781.56 = 344,781.56/x
  3. Step 3: Cross multiply
    159,321.94x = 344,781.56 × 344,781.56
  4. Step 4: Simplify right side
    159,321.94x = 118,874,325,839.94
  5. Step 5: Solve for x
    x = 118,874,325,839.94/159,321.94
  6. Step 6: Final answer
    x = 746,126.54

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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.