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Finding the Third Proportional to 169,704 and 362,736

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Solution

The third proportional to 169,704 and 362,736 is: 775,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,704 : 362,736 = 362,736 : x
  2. Step 2: Convert to fraction form
    169,704/362,736 = 362,736/x
  3. Step 3: Cross multiply
    169,704x = 362,736 × 362,736
  4. Step 4: Simplify right side
    169,704x = 131,577,405,696
  5. Step 5: Solve for x
    x = 131,577,405,696/169,704
  6. Step 6: Final answer
    x = 775,334.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.