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Finding the Third Proportional to 171,078 and 412,143

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Solution

The third proportional to 171,078 and 412,143 is: 992,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,078 : 412,143 = 412,143 : x
  2. Step 2: Convert to fraction form
    171,078/412,143 = 412,143/x
  3. Step 3: Cross multiply
    171,078x = 412,143 × 412,143
  4. Step 4: Simplify right side
    171,078x = 169,861,852,449
  5. Step 5: Solve for x
    x = 169,861,852,449/171,078
  6. Step 6: Final answer
    x = 992,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.