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Finding the Third Proportional to 171,711 and 372,006

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Solution

The third proportional to 171,711 and 372,006 is: 805,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,711 : 372,006 = 372,006 : x
  2. Step 2: Convert to fraction form
    171,711/372,006 = 372,006/x
  3. Step 3: Cross multiply
    171,711x = 372,006 × 372,006
  4. Step 4: Simplify right side
    171,711x = 138,388,464,036
  5. Step 5: Solve for x
    x = 138,388,464,036/171,711
  6. Step 6: Final answer
    x = 805,938.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.