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Finding the Third Proportional to 150,718 and 205,252

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Solution

The third proportional to 150,718 and 205,252 is: 279,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,718 : 205,252 = 205,252 : x
  2. Step 2: Convert to fraction form
    150,718/205,252 = 205,252/x
  3. Step 3: Cross multiply
    150,718x = 205,252 × 205,252
  4. Step 4: Simplify right side
    150,718x = 42,128,383,504
  5. Step 5: Solve for x
    x = 42,128,383,504/150,718
  6. Step 6: Final answer
    x = 279,517.93

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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.