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Finding the Third Proportional to 171,224 and 368,800

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Solution

The third proportional to 171,224 and 368,800 is: 794,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,224 : 368,800 = 368,800 : x
  2. Step 2: Convert to fraction form
    171,224/368,800 = 368,800/x
  3. Step 3: Cross multiply
    171,224x = 368,800 × 368,800
  4. Step 4: Simplify right side
    171,224x = 136,013,440,000
  5. Step 5: Solve for x
    x = 136,013,440,000/171,224
  6. Step 6: Final answer
    x = 794,359.67

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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.