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Finding the Third Proportional to 169,756 and 368,715

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Solution

The third proportional to 169,756 and 368,715 is: 800,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,756 : 368,715 = 368,715 : x
  2. Step 2: Convert to fraction form
    169,756/368,715 = 368,715/x
  3. Step 3: Cross multiply
    169,756x = 368,715 × 368,715
  4. Step 4: Simplify right side
    169,756x = 135,950,751,225
  5. Step 5: Solve for x
    x = 135,950,751,225/169,756
  6. Step 6: Final answer
    x = 800,859.77

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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.