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Finding the Third Proportional to 150,702 and 204,678

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Solution

The third proportional to 150,702 and 204,678 is: 277,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,702 : 204,678 = 204,678 : x
  2. Step 2: Convert to fraction form
    150,702/204,678 = 204,678/x
  3. Step 3: Cross multiply
    150,702x = 204,678 × 204,678
  4. Step 4: Simplify right side
    150,702x = 41,893,083,684
  5. Step 5: Solve for x
    x = 41,893,083,684/150,702
  6. Step 6: Final answer
    x = 277,986.25

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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.