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Finding the Third Proportional to 150,678 and 206,610

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Solution

The third proportional to 150,678 and 206,610 is: 283,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678 : 206,610 = 206,610 : x
  2. Step 2: Convert to fraction form
    150,678/206,610 = 206,610/x
  3. Step 3: Cross multiply
    150,678x = 206,610 × 206,610
  4. Step 4: Simplify right side
    150,678x = 42,687,692,100
  5. Step 5: Solve for x
    x = 42,687,692,100/150,678
  6. Step 6: Final answer
    x = 283,304.08

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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.