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Finding the Third Proportional to 171,034.50 and 364,215

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Solution

The third proportional to 171,034.50 and 364,215 is: 775,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034.50 : 364,215 = 364,215 : x
  2. Step 2: Convert to fraction form
    171,034.50/364,215 = 364,215/x
  3. Step 3: Cross multiply
    171,034.50x = 364,215 × 364,215
  4. Step 4: Simplify right side
    171,034.50x = 132,652,566,225
  5. Step 5: Solve for x
    x = 132,652,566,225/171,034.50
  6. Step 6: Final answer
    x = 775,589.52

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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.