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Finding the Third Proportional to 171,684 and 371,950

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Solution

The third proportional to 171,684 and 371,950 is: 805,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,684 : 371,950 = 371,950 : x
  2. Step 2: Convert to fraction form
    171,684/371,950 = 371,950/x
  3. Step 3: Cross multiply
    171,684x = 371,950 × 371,950
  4. Step 4: Simplify right side
    171,684x = 138,346,802,500
  5. Step 5: Solve for x
    x = 138,346,802,500/171,684
  6. Step 6: Final answer
    x = 805,822.34

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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.