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Finding the Third Proportional to 150,476 and 199,753

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Solution

The third proportional to 150,476 and 199,753 is: 265,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,476 : 199,753 = 199,753 : x
  2. Step 2: Convert to fraction form
    150,476/199,753 = 199,753/x
  3. Step 3: Cross multiply
    150,476x = 199,753 × 199,753
  4. Step 4: Simplify right side
    150,476x = 39,901,261,009
  5. Step 5: Solve for x
    x = 39,901,261,009/150,476
  6. Step 6: Final answer
    x = 265,166.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.