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Finding the Third Proportional to 171,050 and 367,004

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Solution

The third proportional to 171,050 and 367,004 is: 787,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,050 : 367,004 = 367,004 : x
  2. Step 2: Convert to fraction form
    171,050/367,004 = 367,004/x
  3. Step 3: Cross multiply
    171,050x = 367,004 × 367,004
  4. Step 4: Simplify right side
    171,050x = 134,691,936,016
  5. Step 5: Solve for x
    x = 134,691,936,016/171,050
  6. Step 6: Final answer
    x = 787,441.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.