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Finding the Third Proportional to 169,676 and 368,860

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Solution

The third proportional to 169,676 and 368,860 is: 801,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,676 : 368,860 = 368,860 : x
  2. Step 2: Convert to fraction form
    169,676/368,860 = 368,860/x
  3. Step 3: Cross multiply
    169,676x = 368,860 × 368,860
  4. Step 4: Simplify right side
    169,676x = 136,057,699,600
  5. Step 5: Solve for x
    x = 136,057,699,600/169,676
  6. Step 6: Final answer
    x = 801,867.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.