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Finding the Third Proportional to 146,125.69 and 303,731.44

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Solution

The third proportional to 146,125.69 and 303,731.44 is: 631,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,125.69 : 303,731.44 = 303,731.44 : x
  2. Step 2: Convert to fraction form
    146,125.69/303,731.44 = 303,731.44/x
  3. Step 3: Cross multiply
    146,125.69x = 303,731.44 × 303,731.44
  4. Step 4: Simplify right side
    146,125.69x = 92,252,786,125.82
  5. Step 5: Solve for x
    x = 92,252,786,125.82/146,125.69
  6. Step 6: Final answer
    x = 631,324.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.