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Finding the Third Proportional to 171,037.13 and 364,218.75

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Solution

The third proportional to 171,037.13 and 364,218.75 is: 775,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,037.13 : 364,218.75 = 364,218.75 : x
  2. Step 2: Convert to fraction form
    171,037.13/364,218.75 = 364,218.75/x
  3. Step 3: Cross multiply
    171,037.13x = 364,218.75 × 364,218.75
  4. Step 4: Simplify right side
    171,037.13x = 132,655,297,851.56
  5. Step 5: Solve for x
    x = 132,655,297,851.56/171,037.13
  6. Step 6: Final answer
    x = 775,593.59

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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.