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Finding the Third Proportional to 171,052 and 364,252

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Solution

The third proportional to 171,052 and 364,252 is: 775,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,052 : 364,252 = 364,252 : x
  2. Step 2: Convert to fraction form
    171,052/364,252 = 364,252/x
  3. Step 3: Cross multiply
    171,052x = 364,252 × 364,252
  4. Step 4: Simplify right side
    171,052x = 132,679,519,504
  5. Step 5: Solve for x
    x = 132,679,519,504/171,052
  6. Step 6: Final answer
    x = 775,667.75

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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.