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Finding the Third Proportional to 151,517.81 and 225,962.44

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Solution

The third proportional to 151,517.81 and 225,962.44 is: 336,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,517.81 : 225,962.44 = 225,962.44 : x
  2. Step 2: Convert to fraction form
    151,517.81/225,962.44 = 225,962.44/x
  3. Step 3: Cross multiply
    151,517.81x = 225,962.44 × 225,962.44
  4. Step 4: Simplify right side
    151,517.81x = 51,059,023,160.94
  5. Step 5: Solve for x
    x = 51,059,023,160.94/151,517.81
  6. Step 6: Final answer
    x = 336,983.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.