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Finding the Third Proportional to 150,677 and 206,608

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Solution

The third proportional to 150,677 and 206,608 is: 283,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,677 : 206,608 = 206,608 : x
  2. Step 2: Convert to fraction form
    150,677/206,608 = 206,608/x
  3. Step 3: Cross multiply
    150,677x = 206,608 × 206,608
  4. Step 4: Simplify right side
    150,677x = 42,686,865,664
  5. Step 5: Solve for x
    x = 42,686,865,664/150,677
  6. Step 6: Final answer
    x = 283,300.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.