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Finding the Third Proportional to 151,976.25 and 351,826.88

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Solution

The third proportional to 151,976.25 and 351,826.88 is: 814,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,976.25 : 351,826.88 = 351,826.88 : x
  2. Step 2: Convert to fraction form
    151,976.25/351,826.88 = 351,826.88/x
  3. Step 3: Cross multiply
    151,976.25x = 351,826.88 × 351,826.88
  4. Step 4: Simplify right side
    151,976.25x = 123,782,149,972.27
  5. Step 5: Solve for x
    x = 123,782,149,972.27/151,976.25
  6. Step 6: Final answer
    x = 814,483.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.