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Finding the Third Proportional to 158,229.75 and 341,195.25

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Solution

The third proportional to 158,229.75 and 341,195.25 is: 735,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,229.75 : 341,195.25 = 341,195.25 : x
  2. Step 2: Convert to fraction form
    158,229.75/341,195.25 = 341,195.25/x
  3. Step 3: Cross multiply
    158,229.75x = 341,195.25 × 341,195.25
  4. Step 4: Simplify right side
    158,229.75x = 116,414,198,622.56
  5. Step 5: Solve for x
    x = 116,414,198,622.56/158,229.75
  6. Step 6: Final answer
    x = 735,728.89

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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.