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Finding the Third Proportional to 150,194.25 and 304,533

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Solution

The third proportional to 150,194.25 and 304,533 is: 617,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,194.25 : 304,533 = 304,533 : x
  2. Step 2: Convert to fraction form
    150,194.25/304,533 = 304,533/x
  3. Step 3: Cross multiply
    150,194.25x = 304,533 × 304,533
  4. Step 4: Simplify right side
    150,194.25x = 92,740,348,089
  5. Step 5: Solve for x
    x = 92,740,348,089/150,194.25
  6. Step 6: Final answer
    x = 617,469.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.