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Finding the Third Proportional to 171,682 and 363,046

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Solution

The third proportional to 171,682 and 363,046 is: 767,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,682 : 363,046 = 363,046 : x
  2. Step 2: Convert to fraction form
    171,682/363,046 = 363,046/x
  3. Step 3: Cross multiply
    171,682x = 363,046 × 363,046
  4. Step 4: Simplify right side
    171,682x = 131,802,398,116
  5. Step 5: Solve for x
    x = 131,802,398,116/171,682
  6. Step 6: Final answer
    x = 767,712.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.