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Finding the Third Proportional to 150,731.50 and 239,935

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Solution

The third proportional to 150,731.50 and 239,935 is: 381,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,731.50 : 239,935 = 239,935 : x
  2. Step 2: Convert to fraction form
    150,731.50/239,935 = 239,935/x
  3. Step 3: Cross multiply
    150,731.50x = 239,935 × 239,935
  4. Step 4: Simplify right side
    150,731.50x = 57,568,804,225
  5. Step 5: Solve for x
    x = 57,568,804,225/150,731.50
  6. Step 6: Final answer
    x = 381,929.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.