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Finding the Third Proportional to 150,754 and 204,739

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Solution

The third proportional to 150,754 and 204,739 is: 278,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,754 : 204,739 = 204,739 : x
  2. Step 2: Convert to fraction form
    150,754/204,739 = 204,739/x
  3. Step 3: Cross multiply
    150,754x = 204,739 × 204,739
  4. Step 4: Simplify right side
    150,754x = 41,918,058,121
  5. Step 5: Solve for x
    x = 41,918,058,121/150,754
  6. Step 6: Final answer
    x = 278,056.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.