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Finding the Third Proportional to 171,186 and 381,712

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Solution

The third proportional to 171,186 and 381,712 is: 851,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,186 : 381,712 = 381,712 : x
  2. Step 2: Convert to fraction form
    171,186/381,712 = 381,712/x
  3. Step 3: Cross multiply
    171,186x = 381,712 × 381,712
  4. Step 4: Simplify right side
    171,186x = 145,704,050,944
  5. Step 5: Solve for x
    x = 145,704,050,944/171,186
  6. Step 6: Final answer
    x = 851,144.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.