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Finding the Third Proportional to 171,036 and 364,218

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Solution

The third proportional to 171,036 and 364,218 is: 775,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 364,218 = 364,218 : x
  2. Step 2: Convert to fraction form
    171,036/364,218 = 364,218/x
  3. Step 3: Cross multiply
    171,036x = 364,218 × 364,218
  4. Step 4: Simplify right side
    171,036x = 132,654,751,524
  5. Step 5: Solve for x
    x = 132,654,751,524/171,036
  6. Step 6: Final answer
    x = 775,595.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.