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Finding the Third Proportional to 151,216.25 and 330,103

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Solution

The third proportional to 151,216.25 and 330,103 is: 720,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,216.25 : 330,103 = 330,103 : x
  2. Step 2: Convert to fraction form
    151,216.25/330,103 = 330,103/x
  3. Step 3: Cross multiply
    151,216.25x = 330,103 × 330,103
  4. Step 4: Simplify right side
    151,216.25x = 108,967,990,609
  5. Step 5: Solve for x
    x = 108,967,990,609/151,216.25
  6. Step 6: Final answer
    x = 720,610.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.