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Finding the Third Proportional to 171,036 and 364,217

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Solution

The third proportional to 171,036 and 364,217 is: 775,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 364,217 = 364,217 : x
  2. Step 2: Convert to fraction form
    171,036/364,217 = 364,217/x
  3. Step 3: Cross multiply
    171,036x = 364,217 × 364,217
  4. Step 4: Simplify right side
    171,036x = 132,654,023,089
  5. Step 5: Solve for x
    x = 132,654,023,089/171,036
  6. Step 6: Final answer
    x = 775,591.24

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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.