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Finding the Third Proportional to 162,546.75 and 347,626.69

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Solution

The third proportional to 162,546.75 and 347,626.69 is: 743,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,546.75 : 347,626.69 = 347,626.69 : x
  2. Step 2: Convert to fraction form
    162,546.75/347,626.69 = 347,626.69/x
  3. Step 3: Cross multiply
    162,546.75x = 347,626.69 × 347,626.69
  4. Step 4: Simplify right side
    162,546.75x = 120,844,313,862.22
  5. Step 5: Solve for x
    x = 120,844,313,862.22/162,546.75
  6. Step 6: Final answer
    x = 743,443.43

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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.