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Finding the Third Proportional to 76,350 and 168,204

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Solution

The third proportional to 76,350 and 168,204 is: 370,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350 : 168,204 = 168,204 : x
  2. Step 2: Convert to fraction form
    76,350/168,204 = 168,204/x
  3. Step 3: Cross multiply
    76,350x = 168,204 × 168,204
  4. Step 4: Simplify right side
    76,350x = 28,292,585,616
  5. Step 5: Solve for x
    x = 28,292,585,616/76,350
  6. Step 6: Final answer
    x = 370,564.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.