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Finding the Third Proportional to 171,112 and 275,680

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Solution

The third proportional to 171,112 and 275,680 is: 444,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112 : 275,680 = 275,680 : x
  2. Step 2: Convert to fraction form
    171,112/275,680 = 275,680/x
  3. Step 3: Cross multiply
    171,112x = 275,680 × 275,680
  4. Step 4: Simplify right side
    171,112x = 75,999,462,400
  5. Step 5: Solve for x
    x = 75,999,462,400/171,112
  6. Step 6: Final answer
    x = 444,150.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.