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Finding the Third Proportional to 158,325.75 and 323,100

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Solution

The third proportional to 158,325.75 and 323,100 is: 659,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,325.75 : 323,100 = 323,100 : x
  2. Step 2: Convert to fraction form
    158,325.75/323,100 = 323,100/x
  3. Step 3: Cross multiply
    158,325.75x = 323,100 × 323,100
  4. Step 4: Simplify right side
    158,325.75x = 104,393,610,000
  5. Step 5: Solve for x
    x = 104,393,610,000/158,325.75
  6. Step 6: Final answer
    x = 659,359.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.