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Finding the Third Proportional to 175,012 and 271,268

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Solution

The third proportional to 175,012 and 271,268 is: 420,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,012 : 271,268 = 271,268 : x
  2. Step 2: Convert to fraction form
    175,012/271,268 = 271,268/x
  3. Step 3: Cross multiply
    175,012x = 271,268 × 271,268
  4. Step 4: Simplify right side
    175,012x = 73,586,327,824
  5. Step 5: Solve for x
    x = 73,586,327,824/175,012
  6. Step 6: Final answer
    x = 420,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.