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Finding the Third Proportional to 154,610.25 and 332,593

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Solution

The third proportional to 154,610.25 and 332,593 is: 715,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,610.25 : 332,593 = 332,593 : x
  2. Step 2: Convert to fraction form
    154,610.25/332,593 = 332,593/x
  3. Step 3: Cross multiply
    154,610.25x = 332,593 × 332,593
  4. Step 4: Simplify right side
    154,610.25x = 110,618,103,649
  5. Step 5: Solve for x
    x = 110,618,103,649/154,610.25
  6. Step 6: Final answer
    x = 715,464.23

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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.